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On the algebraic complexity of some families of coloured Tutte polynomials
Citation key LM-On-The-Algebraic-Complexity-Of-Some-Families-Of-Coloured-Tutte-Polynomials
Author Martin Lotz and Johann Andreas Makowsky
Pages 327-349
Year 2004
Journal Advances in Applied Mathematics
Volume 32
Number 1-2
Abstract We investigate the coloured Tutte polynomial in Valiant's algebraic framework of NP-completeness. Generalising the well known relationship between the Tutte polynomial and the partition function from the Ising model, we establish a reduction from the permanent to the coloured Tutte polynomial, thus showing that its evaluation is a VNP-complete problem.
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