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Montclair State University

Title: Interdisciplinary Research in Graph Theory and its Applications in Sciences

Directors: Aihua Li

Email: lia@mail.montclair.edu

Dates of Program: June 10 - August 16, 2013

Summary:

Project 1. Randić Connectivity Indices of Graphs

Project 2. Graph Theory Applications in Modeling Evolution of Chagas Disease Vectors

The students in this program work in two groups on two very well related projects. The first project is on Graph Connectivity Indices of certain types of graphs derived from chemistry and biology problems. The focus is on finding patterns and graph theoretic properties of the indices and the connectedness of the considered graphs. The second group applies the graph index method to analyze DNA sequence data of Chagas Disease obtained from biological labs aiming to better understand the evolutionary relationships of the insect vectors. Different types of graph connectivity indices are applied to build phylogenetic trees from the data in order to answer relevant scientific questions about the disease.

Student Researchers Supported by MAA:

Rob R. A. Baello
Zeyad Boodoo
William P. Burke
Pamela Guerron

Program Contacts:

Bill Hawkins
MAA SUMMA
bhawkins@maa.org
202-319-8473

Support for NREUP is provided by the National Science Foundation's Division of Mathematical Sciences and the National Security Agency.

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