Faculty Advisor

Iannacchione, Germano S.

Faculty Advisor

Servatius, Brigitte

Abstract

This work will have two parts. The first will be related to various types of graph connectivity, and will consist of some exposition on the work of Andreas Holtkamp on local variants of vertex connectivity and edge connectivity in graphs. The second part will consist of an introduction to the field of physics known as percolation theory, which has to do with infinite connected components in certain types of graphs, which has numerous physical applications, especially in the field of statistical mechanics.

Publisher

Worcester Polytechnic Institute

Date Accepted

September 2014

Major

Interdisciplinary

Major

Physics

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Unrestricted

Advisor Department

Physics

Advisor Department

Mathematical Sciences

Share

COinS