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Applying Graph Theory to a Sustainable Idea Ixtli-Nitzin Sanchez Mentor: Gene Fiorini Graduate Mentor: Andre Cohen June 8th 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? 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. 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/ 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 Application of the developed algorithms • To create an iPhone application: • Begin with New York City 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 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
