CDAM: Computational, Discrete and Applicable Mathematics@LSE | |
CDAM Research Report, LSE-CDAM-2009-01January 2009 |
Tutte Polynomials of Bracelets
Norman Biggs
The identity linking the Tutte polynomial with the Potts model on a graph implies the existence of a decomposition resembling that previously obtained for the chromatic polynomial. Specifically, let {G_{n}} be a family of bracelets in which the base graph has b vertices. Then the Tutte polynomial of G_{n} can be written as a sum of terms, one for each partition π of a non-negative integer l≤ b:A PDF file (111 kB) with the full contents of this report can be downloaded by clicking here.
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