Graph polynomials and statistical physics
Name
166532608-MIT.pdf
Description
Full printable version
Size
1.54 MB
Format
Adobe PDF
Checksum (MD5)
68e538a95fc24979c332c245699f627a
Author(s)
Kim, Jae Ill, S.M. Massachusetts Institute of Technology
Advisor(s)
Igor Pak.
Date Issued
2007
Publisher
Massachusetts Institute of Technology
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).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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