On the rooted Tutte polynomial

DOI10.5802/aif.1709zbMath0917.05038arXivcond-mat/9812202OpenAlexW2073184325MaRDI QIDQ1296162

V. Pereyra

Publication date: 12 July 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9812202

zbMATH Keywords

graph coloringsduality relationplanar partitionsthe rooted Tutte polynomial

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Coloring of graphs and hypergraphs (05C15)

Cites Work

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• The matrix of chromatic joins
• Duality relations for Potts correlation functions
• On the duality relation for correlation functions of the Potts model
• Sum Rule Identities and the Duality Relation for the Potts<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">n</mml:mi></mml:math>-Point Boundary Correlation Function
• On dichromatic polynomials
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
• A Contribution to the Theory of Chromatic Polynomials

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