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Applying Graph Theory to a Sustainable Idea Ixtli-Nitzin Sanchez Mentor: Gene Fiorini Graduate Mentor: Andre Cohen June 8 th 2012

Applying Graph Theory to a Sustainable Idea Ixtli-Nitzin Sanchez Mentor: Gene Fiorini Graduate Mentor: Andre Cohen June 8 th 2012

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Page 1: Applying Graph Theory to a Sustainable Idea Ixtli-Nitzin Sanchez Mentor: Gene Fiorini Graduate Mentor: Andre Cohen June 8 th 2012

Applying Graph Theory to a Sustainable Idea

Ixtli-Nitzin Sanchez

Mentor: Gene Fiorini

Graduate Mentor: Andre Cohen

June 8th 2012

Page 2: Applying Graph Theory to a Sustainable Idea Ixtli-Nitzin Sanchez Mentor: Gene Fiorini Graduate Mentor: Andre Cohen June 8 th 2012

Outline

• My Background

• What am I doing and why important?

• What theories will I be using?

– Graph Theory

– Game Theory

– Cryptography

• Application of the developed algorithms

• What features are am I considering on including?

Page 3: Applying Graph Theory to a Sustainable Idea Ixtli-Nitzin Sanchez Mentor: Gene Fiorini Graduate Mentor: Andre Cohen June 8 th 2012

My Background

San Jose State University - San Jose, California

• Major: Mechanical Engineering

• Minor: Computer Science

• Programming Experience:

– Java , C, Android Application development, and the Arduino software.

Page 4: Applying Graph Theory to a Sustainable Idea Ixtli-Nitzin Sanchez Mentor: Gene Fiorini Graduate Mentor: Andre Cohen June 8 th 2012

What am I doing and why important?

•Developing a mathematical algorithm applied to sustainability using graph theory, game theory, cryptography, and lots of programming.

http://wsa.wesleyan.edu/2012/03/13/apply-to-be-sustainability-coordinator/

Page 5: Applying Graph Theory to a Sustainable Idea Ixtli-Nitzin Sanchez Mentor: Gene Fiorini Graduate Mentor: Andre Cohen June 8 th 2012

What theories will I be using?

• Graph Theory:

– Definition: branch of mathematics concerned with how networks can be

encoded and their properties measured.

– Application: road networks & communication,

• Game Theory

– Definition: the study of strategic decision making.

– Application: Used during the Cold War against the Soviets in the nuclear

arms race.

• Cryptography

– Definition: practice of studying techniques for secure communication

– Application: ATM cards & passwords

Page 6: Applying Graph Theory to a Sustainable Idea Ixtli-Nitzin Sanchez Mentor: Gene Fiorini Graduate Mentor: Andre Cohen June 8 th 2012

Application of the developed algorithms

• To create an iPhone application:

• Begin with New York City

Page 7: Applying Graph Theory to a Sustainable Idea Ixtli-Nitzin Sanchez Mentor: Gene Fiorini Graduate Mentor: Andre Cohen June 8 th 2012

What features will the iPhone app include?

• Fuel Cost analysis

• Shortest Path

– OpenStreetMap : offers open source geospatial data and

provides geospatial data for anybody to use and share.

• Path with the least amount of traffic

– Analyzing NYC Historical Traffic Data.

– d

• Should I leave now or later?

• Would you like to carpool?

– Main issue: Security

Page 8: Applying Graph Theory to a Sustainable Idea Ixtli-Nitzin Sanchez Mentor: Gene Fiorini Graduate Mentor: Andre Cohen June 8 th 2012

Conclusion

• The iPhone application will promote users with the opportunity to save money, live stress-free with out traffic, and carpool with others.

• For more info you can contact me:– [email protected]

– 323-376-5058 (cell)

– CoRE Building Room 434