Graph polynomials and statistical physics

Author(s)
Kim, Jae Ill, S.M. Massachusetts Institute of Technology
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Other Contributors
Massachusetts Institute of Technology. Dept. of Mathematics.
Advisor
Igor Pak.
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Abstract
We present several graph polynomials, of which the most important one is the Tutte polynomial. These various polynomials have important applications in combinatorics and statistical physics. We generalize the Tutte polynomial and establish its correlations to the other graph polynomials. Finally, our result about the decomposition of planar graphs and its application to the ice-type model is presented.
Description
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.
 
Includes bibliographical references (p. 53-54).
 
Date issued
2007
URI
http://hdl.handle.net/1721.1/39000
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Massachusetts Institute of Technology
Keywords
Mathematics.
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