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Springer Proceedings in Mathematics & Statistics
This book series features volumes composed of selected contributions fromworkshops and conferences in all areas of current research in mathematics andstatistics, including operation research and optimization. In addition to an overallevaluation of the interest, scientific quality, and timeliness of each proposal at thehands of the publisher, individual contributions are all refereed to the high qualitystandards of leading journals in the field. Thus, this series provides the researchcommunity with well-edited, authoritative reports on developments in the mostexciting areas of mathematical and statistical research today.
More information about this series at http://www.springer.com/series/10533
Ram N. Mohapatra • Dipanwita Roy ChowdhuryDebasis GiriEditors
Mathematics and ComputingICMC, Haldia, India, January 2015
123
EditorsRam N. MohapatraDepartment of MathematicsUniversity of Central FloridaOrlando, FLUSA
Dipanwita Roy ChowdhuryDepartment of Computer Scienceand Engineering
Indian Institute of Technology KharagpurKharagpur, West BengalIndia
Debasis GiriDepartment of Computer Scienceand Engineering
Haldia Institute of TechnologyHaldia, West BengalIndia
ISSN 2194-1009 ISSN 2194-1017 (electronic)Springer Proceedings in Mathematics & StatisticsISBN 978-81-322-2451-8 ISBN 978-81-322-2452-5 (eBook)DOI 10.1007/978-81-322-2452-5
Library of Congress Control Number: 2015939433
Springer New Delhi Heidelberg New York Dordrecht London© Springer India 2015This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or partof the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations,recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmissionor information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilarmethodology now known or hereafter developed.The use of general descriptive names, registered names, trademarks, service marks, etc. in thispublication does not imply, even in the absence of a specific statement, that such names are exempt fromthe relevant protective laws and regulations and therefore free for general use.The publisher, the authors and the editors are safe to assume that the advice and information in thisbook are believed to be true and accurate at the date of publication. Neither the publisher nor theauthors or the editors give a warranty, express or implied, with respect to the material contained herein orfor any errors or omissions that may have been made.
Printed on acid-free paper
Springer (India) Pvt. Ltd. is part of Springer Science+Business Media (www.springer.com)
Preface
The Second International Conference on Mathematics and Computing (ICMC2015) was held at the Haldia Institute of Technology, Haldia, from January 5 to 10,2015. Haldia is a city and a municipality in Purba Medinipur in the Indian state ofWest Bengal, and Haldia Institute of Technology is a premier institution that givestraining to engineers and computer scientists. It has gained reputation through itsinstitutional dedication to teaching and research.
In response to the call for papers for ICMC 2015, a total of 69 papers weresubmitted for presentation and inclusion in the proceedings of the conference.These papers were evaluated and ranked on the basis of their significance, novelty,and technical quality by at least two reviewers per paper. After a careful and blindrefereeing process, 34 papers were selected for inclusion in the conference pro-ceedings. The papers cover current research in cryptography, abstract algebra,functional analysis, Pal and fractal approximation, fluid dynamics, fuzzy modelingand optimization, and statistics. ICMC 2015 saw eminent personalities both fromIndia and abroad (USA, France, Russia, Japan, Turkey, China, and Indonesia) whodelivered invited addresses, workshop lectures, and tutorial talks. Speakers fromIndia were recognized leaders from government, industry, and academic institutionslike Defense Research and Development Organization (DRDO), New Delhi; IndianInstitute of Sciences (IISc), Bangalore; Indian Statistical Institute (ISI), Kolkata;Indian Institute of Technology (IIT) Kharagpur; and IIT Madras. All of them areinvolved in research dealing with the current issues of interest related to the themeof the conference. The conference hosted four tutorial talks by Prof. PeeyushChandra (IIT Kanpur), Dr. Prasanta Kumar Srivastava (IIT Patna), Dr. DhanonjoyDey (DRDO, New Delhi), and Prof. Ram N. Mohapatra (University of CentralFlorida, USA). There were four workshops, ranging over 2 days by Prof. Ram N.Mohapatra, Prof. Manoranjan Maiti (Vidyasagar University), Prof. C. Pandurangan(IIT Madras), and Prof. Abhijit Das (IIT Kharagpur). In addition to these, there wasone keynote talk by Prof. Heinrich Begehr (Freie Universitat Berlin, Germany) and11 invited talks by Prof. C.E Venimadhavan (IISc, Bangalore), Prof. Ekrem Savaş(Istanbul Commerce University, Turkey), Dr. P.K. Saxena (DRDO, New Delhi),Prof. Peeyush Chandra, Dr. Christina Boura (Versailles Saint-Quentin-en-Yvelines
v
University, France), Prof. Birendra Nath Mandal (ISI, Kolkata), Dr. Mridul Nandi(ISI, Kolkata), Prof. G.P. Kapoor (IIT Kanpur), Prof. P.D. Srivastava (IITKharagpur), Prof. Abhijit Das (IIT Kharagpur), and Prof. B.C. Tripathy (Institute ofAdvanced Study in Science and Technology, India).
A conference of this kind would not be possible to organize without the fullsupport from different people across different committees. All logistics and generalorganizational aspects were looked after by the organizing committee members whospent their time and energy in making the conference a reality. We also thank all thetechnical program committee members and external reviewers for thoroughlyreviewing the papers submitted to the conference and sending their constructivesuggestions within the deadlines. Our hearty thanks to Springer for agreeing topublish the proceedings.
We are indebted to DRDO, Department of Electronics and InformationTechnology (Ministry of Communication and Information Technology, theGovernment of India), Indian Space Research Organisation (ISRO), University ofCentral Florida, The International Society for Analysis, its Applications andComputation (ISAAC), Cryptology Research Society of India (CRSI), Science andEngineering Research Board (DST), and Haldia Institute of Technology for spon-soring/supporting the event. Their support has significantly helped in raising theprofile of the conference.
Last but not least, our sincere thanks go to all authors who submitted papers toICMC 2015 and to all speakers and participants. We sincerely hope that the readerswill find the proceedings stimulating and inspiring.
Ram N. MohapatraDipanwita Roy Chowdhury
Debasis Giri
vi Preface
Committee
PatronLakshman Seth, Chairman, Haldia Institute of Technology, Haldia, India
General Co-ChairsP.K. Saxena, SAG, DRDO, New Delhi, IndiaP.D. Srivastava, IIT Kharagpur, India
Workshop ChairPeeyush Chandra, IIT Kanpur, India
Program Co-ChairsRam N. Mohapatra, University of Central Florida, USADipanwita Roy Chowdhury, IIT Kharagpur, IndiaDebasis Giri, Haldia Institute of Technology, India
Program Committee Members
PC Member Organization
P.N. Agarwal Indian Institute of Technology Roorkee, India
Ravi P. Agarwal Texas A&M University, Kingsville, USA
Rafikul Alam Indian Institute of Technology Guwahati, India
Rana Barua Indian Statistical Institute Kolkata, India
Heinrich Begehr Freie Universitat Berlin, Germany
Amitava Bhattacharya Tata Institute of Fundamental Research, Mumbai, India
Somnath Bhattacharyya Indian Institute of Technology Kharagpur, India
Jaydeb Bhaumik Haldia Institute of Technology, India(continued)
vii
PC Member Organization
Leonid Bokut Sobolev Institute of Mathematics, Novosibirsk, Russia
Ioana Boureanu Akamai Technologies Limited, UK
Teodor Bulboaca Babes-Bolyai University, Cluj-Napoca, Romania
Sucheta Chakrabarty DRDO, Delhi, India
Kalyan Chakraborty Harish-Chandra Research Institute, Allahabad, India
Peeyush Chandra Indian Institute of Technology Kanpur, India
Janka Chlebikova University of Portsmouth, UK
Dipanwita RoyChowdhury
Indian Institute of Technology Kharagpur, India
Rifat Colak Firat University, Elazig, Turkey
Abhijit Das Indian Institute of Technology Kharagpur, India
Ashok Kumar Das IIIT Hyderabad, India
Kinkar Das Sungkyunkwan University, Korea
Manik Lal Das DAIICT, India
B.K. Dass University of Delhi, India
Biswa Datta Northern Illinois University, USA
Anilkumar Devarapu Albany State University, GA, USA
Dhananjoy Dey DRDO, Delhi, India
Jana Dittmann University of Magdeburg, Germany
Philippe Gaborit University of Limoges, France
Sugata Gangopadhyay Indian Institute of Technology Roorkee, India
Praveen Gauravaram Tata Consultancy Services, India
Debasis Giri Haldia Institute of Technology, Haldia 721657, India
Narendra Govil Auburn University, Alabama, USA
Shay Gueron University of Haifa, Israel
Indivar Gupta DRDO, Delhi, India
U.C. Gupta Indian Institute of Technology Kharagpur, India
Tian-Xiao He Illinois Weslyan University, USA
Aoi Honda Kyushu Institute of Technology, Japan
Don Hong Middle Tennessee State University, USA
Honggang Hu University of Science and Technology of China, China
N.J. Hunag Sichuan University, Chengdu, Republic of China
Peter Johnson Auburn University, Alabama, USA
Mohan S. Kankanhalli National University of Singapore, Singapore
G.P. Kapoor Indian Institute of Technology Kanpur, India
Sandip Karmakar IIIT Guwahati, India
K.V. Krishna Indian Institute of Technology. Guwahati, India
Somesh Kumar Indian Institute of Technology Kharagpur, India
Shanta Laishram Indian Statistical Institute, Delhi, India
Duan Li The Chinese University of Hong Kong, Hong Kong
Shijun Liao Shanghai Jiao Tong University, China(continued)
viii Committee
PC Member Organization
Jiqiang Lu Institute for Infocomm Research (I2R), Singapore
Manoranjan Maiti Vidyasagar University, India
Soumen Maity IISER, Pune, India
Birendra Nath Manda Indian Statistical Institute Kolkata, India
Keith Martin Royal Holloway, University of London
Edgar Martinez-Moro University of Valladolid, Spain
Miodrag Mihaljevic Serbian Academy of Science and Arts, Belgrade, Serbia
P.R. Mishra DRDO, Delhi, India
Tapan Misra Space Applications Centre, ISRO, Ahmedabad, India
Ram N. Mohapatra University of Central Florida, USA
Shyamal Mondal Vidyasagar University, India
DebdeepMukhopadhyay
IIT Kharagpur, India
M. Mursaleen Aligarh Muslim University, India
Sukumar Nandi Indian Institute of Technology Guwahati, India
Vilem Novak University of Ostrava, Czech Republic
S. Padhi Birla Institute of Technology Mesra, India
Madhumangal Pal Vidyasagar University, India
Saibal K. Pal DRDO, Delhi, India
Kolin Paul Indian Institute of Technology Delhi, India
Svetla Petkova-Nikova KU Leuven, ESAT-COSIC, Belgium
Rajesh Pillai DRDO, Delhi, India
V. Sree Hari Rao IDRBT, India
Bimal Roy Indian Statistical Institute, Kolkata, India
Kouichi Sakurai Kyushu University, Fukuoka, Japan
Suman Sanyal Marshall University, West Virginia
Santanu Sarkar Chennai Mathematical Institute, India
P.K. Saxena DRDO, Delhi, India
G.P. Raja Sekhar Indian Institute of Technology Kharagpur, India
S. Samarendra Singh Manipur University, India
Seong Han Shin National Institute of Advanced Industrial Science and Technology,Japan
P.D. Srivastava Indian Institute of Technology Kharagpur, India
S. Sundar Indian Institute of Technology Madras, India
Pamini Thangarajah Mount Royal University, Calgary, Alberta, Canada
P. Vellaisamy Indian Institute of Technology Bombay, India
C.E. Veni Madhavan Indian Institute of Science, Bangalore, India
Ram U. Verma Texas A&M University-Kingsville, USA
V. Vetrivel Indian Institute of Technology Madras, India
Konstantin Volkov Kingston University, UK
Bixiang Wang New Mexico Institute of Mining and Technology, USA
Yao Zhao Beijing Jiao Tong University, China
Committee ix
Additional Reviewers
Organizing Committee
Asish LahiriA.K. DeyAnjan MishraDebasis GiriJaydeb BhaumikSk. SahnawajSudipta Kumar BasuDebasis DasSoumen PaulTarun Kumar GhoshApratim MitraSubhabrata BarmanSourav Mandal
Reviewer Organization
Abhijit Datta Banik Indian Institute of Technology Bhubaneswar, India
Rajesh Deo Institute of Information Security, India
Manish Kant Dubey SAG, DRDO, Delhi, India
Kishan Gupta Indian Statistical Institute Kolkata, India
Dipak Kumar Jana Haldia Institute of Technology, India
Louis Yang Liu Michigan State University, USA
Mukund Madhav Mishra University of Delhi, India
Seiichiro Mizoguchi Kyushu University, Japan
Kirill Morozov Kyushu University, Japan
Chandal Nahak Indian Institute of TechnologyKharagpur, India
Harika Narumanchi Jawaharlal Nehru Technological University, India
Ameeya Nayak Indian Institute of Technology Roorkee, India
Gayatri Ramesh University of Central Florida, USA
David Rollins University of Central Florida, USA
Sujit Samanta National Institute of Technology Raipur, India
Joe Sawada University of Guelph, Canada
Shalabh Indian Institute of Technology Kanpur, India
Juan Jacobo Simon Pinero Universidad de Murcia, Espaa
Yogesh Tripathi Indian Institute of Technology Patna, India
x Committee
Subhankar JoardarSusmit MaityPalash RoySk. Arif AhmedBidesh ChakrabortyMrinmoy SenJayeeta MajumderMihir Baran Bera
Message from the General Chairs
As we all are aware mathematics has always been a discipline of interest not only totheoreticians but also to all practitioners, irrespective of their specific profession. Beit science, technology, economics, commerce, or even sociology, new mathematicalprinciples and models have been emerging and helping in new research and indrawing inferences from practical data as well as through logic. The past fewdecades have seen enormous growth in applications of mathematics in differentareas multidisciplinary in nature. Cryptography and signal processing are suchareas, which have got more focus recently due to the need for securing commu-nication while connecting with others. With emerging computing facilities andspeeds, a phenomenal growth has happened in the problem solving area. Earlier,some observations were made and conjectures were drawn which remained con-jectures till somebody could either prove it theoretically or found counter examples.But today, we can write algorithms and use computers for long calculations, ver-ifications, or for generation of huge amounts of data. With available computingcapabilities, we can find factors of very large integers of the size of hundreds ofdigits; we can find inverses of very large size matrices and solve a large set of linearequations, and so on. Thus, mathematics and computations have become moreintegrated areas of research these days, and it was thought to organize an eventwhere thoughts may be shared by researchers and new challenging problems couldbe deliberated for solving these.
Apart from many other interdisciplinary areas of research, cryptography hasemerged as one of the most important areas of research with discrete mathematics asa base. Several research groups are actively pursuing research on different aspects ofcryptology not only in terms of new crypto-primitives and algorithms, but a wholelot of concepts related to authentication, integrity, and security proofs/protocols,many times with open and competitive evaluation mechanism to evolve standards.
As conferences, seminars, and workshops are the mechanisms to share knowl-edge and new research results that give us a chance to get new innovative ideas forfuturistic needs as threats and computational capabilities of adversaries are ever-increasing, it was thought appropriate to organize the present conference focused onmathematics and computations covering theoretical as well as practical aspects ofresearch, cryptography being one of them.
Committee xi
Eminent personalities working in mathematical sciences and related areas wereinvited from abroad as well as from within the country to deliver invited talks andtutorials for participants. The talks by these speakers covered a wide spectrum,namely number theoretic concepts, cryptography, algebraic concepts, and appli-cations. The conference was spread over 6 days (January 5–10, 2015) with the first2 days dedicated to workshops and the next one day dedicated to tutorials. Themain conference was planned with special talks by experts and paper presentationsin each session.
We hope that the conference met the aspirations of the participants and itsobjective of ideas and current research being shared and new targets/problemsidentified in the domain of cryptography, computational number theory, algebra,frame theory, optimizations, fuzzy logic, stochastic processes, compressive sensing,functional analysis, complex variables, etc., so that researchers and students wouldget new directions to pursue their future research.
P.K. SaxenaP.D. Srivastava
Message from the Program Chairs
It is a great pleasure for us to organize the Second International Conference onMathematics and Computing 2015 held from January 5 to 10, 2015 at the HaldiaInstitute of Technology, Purba Medinipur, West Bengal, India. Our main goal wasto provide an opportunity to the participants to learn about contemporary researchin mathematics and computing and exchange ideas among themselves and withexperts present in the conference as workshop presenters, tutorial presenters, andthe plenary as well as invited speakers. With this aim in mind, we carefully selectedthe invited speakers and the speakers for the workshops and tutorials. It is oursincere hope that the conference would help the participants in their research andtraining and open new avenues for work for those who are either starting theirresearch or are looking for extending their area of research to a different area ofcurrent research in mathematics and computing.
The below table shows the workshops held on January 5–6, 2015.
Title of the workshop Name of the speaker Duration of the workshop
Signcryption in standard model Prof. C. Pandu Rangan 3 h and 45 min
Elliptic curve cryptography Prof. Abhijit Das 3 h and 45 min
Riesz bases and frames Prof. Ram N. Mohapatra 3 h and 45 min
Conventional and metaheuristicoptimization techniques
Prof. Manoranjan Maiti 3 h and 45 min
xii Committee
The below table shows the tutorials held on January 7, 2015.
The conference began after a formal opening ceremony on January 8. There wasone keynote 90-min talk by Prof. Heinrich Begehr and seven invited 1-h talks byProf. Peeyush Chandra, Prof. C.E. Venni Madhavan, Dr. P.K. Saxena, Prof. EkremSavaş, Prof. Abhijit Das, Dr. Christina Boura, Dr. Mridul Nanadi, Prof. BirendraNath Mandal, Prof. P.D. Srivastava, Prof. G.B. Kapoor, and Prof. Binod ChandraTripathy. There were 32 contributed half-hour talks. Our speakers/contributorscame from Germany, France, Japan, Turkey, Indonesia, India, China, and USA.After an initial call for papers, 69 papers were submitted for presentation at theconference. All submitted papers were sent to external referees and after refereeing,34 papers were recommended for presentation. The proceedings of the conferencecontains 34 papers published by Springer. We are grateful to the speakers, par-ticipants, referees, organizers, sponsors, and funding agencies (from DRDO,University of Central Florida, DeitY-DIT, ISRO, CRSI, ISAAC, SERB-DST,Haldia Institute of Technology) for their support and help, without which it wouldhave been impossible to organize the conference, the workshops, and the tutorials.We owe our gratitude to the volunteers who worked behind the scene tirelessly intaking care of the details in making this conference a success.
Ram N. MohapatraDwipanita Roy Chowdhury
Debasis Giri
Title of the tutorial Name of the speaker Duration of the tutorial
Mathematical epidemiology Prof. Peeyush Chandra 2 h
Mathematical epidemiology Dr. Prasanta K. Srivastava 1 h and 45 min
A gentle introduction to blockciphers: design and analysis
Dr. Dhananjoy Dey 2 h
Some mathematical snapshots Prof. Ram N. Mohapatra 1 h and 45 min
Committee xiii
Contents
Integral Representations Related to Complex PartialDifferential Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1Heinrich Begehr
Higher Order Hybrid Invexity Frameworks and DiscreteMultiobjective Fractional Programming Problems . . . . . . . . . . . . . . . . 19Ram U. Verma
A Study of Generalized Invex Functions on Riemannian Manifold . . . . 37S. Jana and C. Nahak
Second-order Symmetric Duality and Variational Problems. . . . . . . . . 49Saroj Kumar Padhan, Pramod Kumar Behera and R.N. Mohapatra
Efficient Portfolio for Interval Sharpe Ratio Model . . . . . . . . . . . . . . . 59Mrinal Jana, Pankaj Kumar and Geetanjali Panda
On Solvability for Certain Functional Equations Arisingin Dynamic Programming . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79Deepmala and A.K. Das
CASca:A CA Based Scalable Stream Cipher. . . . . . . . . . . . . . . . . . . . 95Shamit Ghosh and Dipanwita Roy Chowdhury
Improved Cryptographic Puzzle Based on Modular Exponentiation . . . 107Lakshmi Kuppusamy and Jothi Rangasamy
Computationally Secure Robust Multi-secret Sharingfor General Access Structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123Angsuman Das, Partha Sarathi Roy and Avishek Adhikari
xv
Key Chain-Based Key Predistribution Protocols for SecuringWireless Sensor Networks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135Prasun Hazra, Debasis Giri and Ashok Kumar Das
IMSmining: A Tool for Imaging Mass Spectrometry DataBiomarker Selection and Classification . . . . . . . . . . . . . . . . . . . . . . . . 155Jingsai Liang, Don Hong, Fengqing (Zoe) Zhang and Jiancheng Zou
Pal Interpolation of Integral Types. . . . . . . . . . . . . . . . . . . . . . . . . . . 163Gayatri Ramesh
Positivity Preserving Rational Cubic Trigonometric FractalInterpolation Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187A.K.B. Chand and K.R. Tyada
A Monotonic Rational Fractal Interpolation Surfaceand Its Analytical Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203A.K.B. Chand and N. Vijender
Toward a Unified Methodology for Fractal Extensionof Various Shape Preserving Spline Interpolants . . . . . . . . . . . . . . . . . 223S.K. Katiyar and A.K.B. Chand
Unistochastic Matrices and Related Problems . . . . . . . . . . . . . . . . . . . 239Aaron Carl Smith
Film Story Structure and Shot Type Analysis Using One-WayANOVA, Kruskal–Wallis Test, and Poisson Distribution Test . . . . . . . 251Udjianna Sekteria Pasaribu and Klara Ajeng Canyarasmi
Characterization of Total Very Excellent Trees . . . . . . . . . . . . . . . . . . 265N. Sridharan and S. Amutha
Quadratic Residue Cayley Graphs on Composite Modulus . . . . . . . . . 277Angsuman Das
A Dynamic Programming Algorithm for Solving Bi-ObjectiveFuzzy Knapsack Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 289V.P. Singh and D. Chakraborty
A Fuzzy Random Periodic Review Inventory Model InvolvingControllable Back-Order Rate and Variable Lead-Time . . . . . . . . . . . 307Sushil Kumar Bhuiya and Debjani Chakraborty
xvi Contents
Supplier Selection Using Fuzzy Risk Analysis . . . . . . . . . . . . . . . . . . . 321Kartik Patra and Shyamal Kumar Mondal
The Control for Prey–Predator System with TimeDelay and Refuge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 339Shashi Kant and Vivek Kumar
Evaluation of Solving Time for Multivariate Quadratic EquationSystem Using XL Algorithm Over Small Finite Fields on GPU . . . . . . 349Satoshi Tanaka, Chen-Mou Cheng and Kouichi Sakurai
Hierarchical Visual Secret Sharing Scheme Using Steganography . . . . 363Biswapati Jana, Amita Samanta and Debasis Giri
Covering Arrays of Strength Four and Software Testing . . . . . . . . . . . 391Yasmeen Akhtar, Soumen Maity and Reshma C. Chandrasekharan
Amplitude Equation for a Nonlinear Three DimensionalConvective Flow in a Mushy Layer . . . . . . . . . . . . . . . . . . . . . . . . . . 399Dambaru Bhatta and Daniel N. Riahi
Effect of Variable Bottom Topography on Water WaveIncident on a Finite Dock. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 411Harpreet Dhillon and Sudeshna Banerjea
Electrokinetic Effects on Solute Mixing Near a ConductingObstacle Within a Microchannel . . . . . . . . . . . . . . . . . . . . . . . . . . . . 427S. Bera and S. Bhattacharyya
Distribution of Primitive Polynomials Over GF(2) with Respectto Their Weights . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 441Prasanna Raghaw Mishra, Indivar Gupta and Navneet Gaba
Medial Left Bipotent Seminear-Rings . . . . . . . . . . . . . . . . . . . . . . . . . 451R. Perumal and P. Chinnaraj
Subcentral Automorphisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 459R.G. Ghumde and S.H. Ghate
On Symmetric Laplace Integral of Order n . . . . . . . . . . . . . . . . . . . . 467S. Ray and A. Garai
A Sequence Space and Uniform (A;ϕ)—Statistical Convergence . . . . . 481Ekrem Savaş
Contents xvii
Editors and Contributors
About the Editors
Ram N. Mohapatra is Professor of Mathematics, University of Central Florida,Orlando, USA. He received his PhD degree from the University of Jabalpur, India,in 1968. Earlier, he taught at Sambalpur University in India, American University inBeirut, Lebanon, University of Alberta, and York University, Canada, prior tocoming to Orlando. His area of research is Mathematical Analysis and he is theauthor of two books, two edited monographs, and over 120 research papers. Hereferees articles for professional journals and serves as a member of the editorialboard of a number of journals.
Dipanwita Roy Chowdhury is Professor at the Department of Computer Scienceand Engineering, Indian Institute of Technology (IIT) Kharagpur, India. She is alsothe chairman of Kalpana Chawla Space Technology Cell, IIT Kharagpur. ProfessorRoy Chowdhury is PhD from IIT Kharagpur and M.Tech. in Computer Sciencefrom the University of Calcutta. Her topics of research interest are cryptography,error-correcting code, and cellular automata. She has published more than 150research papers in several international journals and conference proceedings.Professor Roy Chowdhury is the recipient of INSA Young Scientist Award andassociate of Indian Academy of Science. She is a fellow of Indian NationalAcademy of Engineers (INAE).
Debasis Giri is Professor at the Department of Computer Science and Engineering,Haldia Institute of Technology, India. His topics of interest are discrete mathe-matics, cryptography, information security, coding theory, advanced algorithms,design and analysis of algorithms, and formal languages and automata theory. Hisresearch interests include cryptography, network security, security in wirelesssensor networks, and security in VANETs. Dr. Giri had delivered several talks andguest lectures at various universities and conferences. He is supervisor of three PhDresearch scholars, and has guided many B.Tech. and M.Tech. students. He isassociate editor of the Journal of Security and Communication Networks (Wiley),
xix
and the Journal of Electrical and Computer Engineering Innovations. Further, he isthe editorial board member and reviewer of many reputed international journals. Heis also a program committee member of many international conferences. He is a lifemember of Cryptology Research Society of India. He received his PhD on“Cryptanalysis and improvement of protocols for digital signature, smartcardauthentication and access control” from Indian Institute of Technology (IIT)Kharagpur. He did both his M.Tech. and M.Sc. from IIT Kharagpur. He secured10th position in all India rank with percentile score 98.42 in the Graduate AptitudeTest in Engineering (GATE) examination in 1999. Dr. Giri has published more than30 technical papers in several international journals and proceedings.
Contributors
Avishek Adhikari Department of Pure Mathematics, University of Calcutta,Kolkata, India
Yasmeen Akhtar Indian Institute of Science Education and Research, Pune, India
S. Amutha Ramanujan Centre for Higher Mathematics, Alagappa University,Karaikudi, TamilNadu, India
Sudeshna Banerjea Department of Mathematics, Jadavpur University, Kolkata,India
Heinrich Begehr Mathematical Institute, Free University Berlin, Berlin, Germany
Pramod Kumar Behera Department of Mathematics, Veer Surendra SaiUniversity of Technology, Burla, India
S. Bera Department of Mathematics, Indian Institute of Technology Kharagpur,Kharagpur, India
Dambaru Bhatta The University of Texas, Edinburg, TX, USA
S. Bhattacharyya Department of Mathematics, Indian Institute of TechnologyKharagpur, Kharagpur, India
Sushil Kumar Bhuiya Department of Mathematics, Indian Institute ofTechnology Kharagpur, Kharagpur, India
Klara Ajeng Canyarasmi Institut Teknologi Bandung, Bandung, Indonesia
Debjani Chakraborty Department of Mathematics, Indian Institute ofTechnology Kharagpur, Kharagpur, India
A.K.B. Chand Department of Mathematics, Indian Institute of TechnologyMadras, Chennai, Tamil Nadu, India
Reshma C. Chandrasekharan Indian Institute of Science Education andResearch, Pune, India
xx Editors and Contributors
Chen-Mou Cheng Kyushu University, Fukuoka, Japan; National TaiwanUniversity, Taipei, Taiwan
P. Chinnaraj Department of Mathematics, Park College of Engineering andTechnology, Coimbatore, Tamilnadu, India
Dipanwita Roy Chowdhury Department of Computer Science and Engineering,Indian Institute of Technology Karagpur, Kharagpur, India
A.K. Das SQC & OR Unit, Indian Statistical Institute, Kolkata, India
Angsuman Das Department of Mathematics, St. Xavier’s College, Kolkata, India
Ashok Kumar Das Center for Security, Theory and Algorithmic Research,International Institute of Information Technology, Hyderabad, India
Deepmala SQC & OR Unit, Indian Statistical Institute, Kolkata, India
Harpreet Dhillon Department of Mathematics, Jadavpur University, Kolkata,India
Navneet Gaba Scientific Analysis Group, Defence Research and DevelopmentOrganization, Delhi, India
A. Garai Memari College, Memari, Burdwan, West Bengal, India
S.H. Ghate Department of Mathematics, R.T.M. Nagpur University, Nagpur,India
Shamit Ghosh Department of Computer Science and Engineering, Indian Instituteof Technology Karagpur, Kharagpur, India
R.G. Ghumde Department of Mathematics, Ramdeobaba College of Engineeringand Management, Nagpur, India
Debasis Giri Department of Computer Science and Engineering, Haldia Instituteof Technology, Haldia, India
Indivar Gupta Scientific Analysis Group, Defence Research and DevelopmentOrganization, Delhi, India
Prasun Hazra Paladion Networks, Bangalore, India
Don Hong Computational Science Program, Middle Tennessee State University,Murfreesboro, TN, USA; College of Sciences, North China University ofTechnology, Beijing, China
Biswapati Jana Department of Computer Science, Vidyasagar University, WestBengal, India
Mrinal Jana Department of Mathematics, Indian Institute of TechnologyKharagpur, Kharagpur, India
Editors and Contributors xxi
S. Jana Department of Mathematics, Indian Institute of Technology Kharagpur,Kharagpur, India
Shashi Kant Department of Applied Mathematics, Delhi TechnologicalUniversity, Delhi, India
S.K. Katiyar Department of Mathematics, Indian Institute of Technology Madras,Chennai, India
Pankaj Kumar Department of Mathematics, Indian Institute of TechnologyKharagpur, Kharagpur, India
Vivek Kumar Department of Applied Mathematics, Delhi TechnologicalUniversity, Delhi, India
Lakshmi Kuppusamy Society For Electronic Transactions and Security, MGRKnowledge City, Chennai, Tamilnadu, India
Jingsai Liang Computational Science Program, Middle Tennessee StateUniversity, Murfreesboro, TN, USA
Soumen Maity Indian Institute of Science Education and Research, Pune, India
Prasanna Raghaw Mishra Scientific Analysis Group, Defence Research andDevelopment Organization, Delhi, India
R.N. Mohapatra Department of Mathematics, University of Central Florida,Orlando, FL, USA
Shyamal Kumar Mondal Department of Applied Mathematics with Oceanologyand Computer Programming, Vidyasagar University, Midnapore, India
C. Nahak Department of Mathematics, Indian Institute of Technology Kharagpur,Kharagpur, India
Saroj Kumar Padhan Department of Mathematics, Veer Surendra Sai Universityof Technology, Burla, India
Geetanjali Panda Department of Mathematics, Indian Institute of TechnologyKharagpur, Kharagpur, India
Udjianna Sekteria Pasaribu Institut Teknologi Bandung, Bandung, Indonesia
Kartik Patra Department of Mathematics, Sikkim Manipal Institute ofTechnology, Sikkim Manipal University, East Sikkim, India
R. Perumal Department of Mathematics, Kumaraguru College of Technology,Coimbatore, Tamilnadu, India
Gayatri Ramesh University of Central Florida, Orlando, FL, USA
Jothi Rangasamy Society For Electronic Transactions and Security, MGRKnowledge City, Chennai, Tamilnadu, India
xxii Editors and Contributors
S. Ray Visva Bharati, Santiniketan, West Bengal, India
Daniel N. Riahi The University of Texas, Edinburg, TX, USA
Partha Sarathi Roy Department of Pure Mathematics, University of Calcutta,Kolkata, India
Kouichi Sakurai Institute of Systems, Information Technologies andNanotechnologies, Fukuoka, Japan; Kyushu University, Fukuoka, Japan
Amita Samanta Department of Computer Science, Vidyasagar University, WestBengal, India
Ekrem Savaş Istanbul Commerce University, Department of Mathematics,Istanbul, Turkey
V.P. Singh Department of Mathematics, Indian Institute of TechnologyKharagpur, Kharagpur, India
Aaron Carl Smith Department of Mathematics, University of Central Florida,Orlando, FL, USA
N. Sridharan Department of Mathematics, Alagappa University, Karaikudi,TamilNadu, India
Satoshi Tanaka Institute of Systems, Information Technologies andNanotechnologies, Fukuoka, Japan; Kyushu University, Fukuoka, Japan
K.R. Tyada Department of Mathematics, Indian Institute of Technology Madras,Chennai, India
Ram U. Verma Department of Mathematics, Texas State University, San Marcos,TX, USA
N. Vijender Department of Mathematics, VIT University, Chennai, India
Fengqing (Zoe) Zhang Department of Psychology, Drexel University,Philadelphia, PA, USA
Jiancheng Zou Computational Science Program, Middle Tennessee StateUniversity, Murfreesboro, TN, USA; College of Sciences, North China Universityof Technology, Beijing, China
Editors and Contributors xxiii
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