2026-09-18T22:55:07Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/390002022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131023
Igor Pak.
Kim, Jae Ill, S.M. Massachusetts Institute of Technology
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2007-09-28T13:30:13Z
2007-09-28T13:30:13Z
2007
2007
http://hdl.handle.net/1721.1/39000
166532608
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.
Includes bibliographical references (p. 53-54).
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.
by Jae Ill Kim.
S.M.
54 p.
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Graph polynomials and statistical physics
Thesis
application/pdf
Publication
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