IOSR Journal of Mathematics (IOSR-JM)

e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 12, Issue 6 Ver. II (Nov. - Dec.2016), PP 07-13

www.iosrjournals.org

DOI: 10.9790/5728-1206020713 www.iosrjournals.org 7 | Page

Some Parameters of SM family of Graphs

Sreekumar.K.𝐺 1, Dr. Manilal. 𝐾 2 1Department of information technology ,Nizwa College of Technology, Nizwa, Sultanate of Oman

2Department of Mathematics, University College ,Thiruvananthapuram, India

Abstract

Introduction

Graph theory is one of the most research focused branch of Mathematics. It has been

witnessed a tremendous growth due to a number of applications in computer communication, IT

networks, molecular Physics, Chemistry, Social network and biological sciences, computational

linguistics and in many other areas. Graph Parameters have a worthy role in all these applications.

Many Graph parameters have been introduced and applied in various fields. The mainly used graph

parameters are various types of domination numbers, domatic numbers, independence number,

covering number, matching number, Zagreb indices, Harary indices, wiener indices etc. In this paper

we discuss some of these parameters and its applications. Two classes of graphs were introduced by

us in earlier papers. Now we are exploring these graphs up to applications. Some preliminaries are

given below.

Some Parameters of SM family of Graphs

DOI: 10.9790/5728-1206020713 www.iosrjournals.org 8 | Page

Some Parameters of SM family of Graphs

DOI: 10.9790/5728-1206020713 www.iosrjournals.org 9 | Page

Some Parameters of SM family of Graphs

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Some Parameters of SM family of Graphs

DOI: 10.9790/5728-1206020713 www.iosrjournals.org 11 | Page

IIII. Centre and Radius of SM Graphs

Some Parameters of SM family of Graphs

DOI: 10.9790/5728-1206020713 www.iosrjournals.org 12 | Page

IV. First Zagreb indices of SM graphs

Some Parameters of SM family of Graphs

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V. Conclusion

References