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
Copyright Statement
All authors have granted to WPI a nonexclusive royalty-free license to distribute copies of the work, subject to other agreements. Copyright is held by the author or authors, with all rights reserved, unless otherwise noted.
Accessibility
Unrestricted
Advisor Department
Physics
Advisor Department
Mathematical Sciences