Bulk, surface and corner free-energy series for the chromatic polynomial on the square and triangular lattices

DOI10.1088/1751-8113/43/31/315002zbMath1197.82040arXiv1005.3609OpenAlexW2083047757WikidataQ58082292 ScholiaQ58082292MaRDI QIDQ3583817

Jesper Lykke Jacobsen

Publication date: 18 August 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3609

zbMATH Keywords

polynomialsstructure theorycoloring of graphs and hypergraphs

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Coloring of graphs and hypergraphs (05C15)

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A tree-decomposed transfer matrix for computing exact Potts model partition functions for arbitrary graphs, with applications to planar graph colourings ⋮ Parallel family trees for transfer matrices in the Potts model ⋮ Exact solution of the 2d dimer model: corner free energy, correlation functions and combinatorics ⋮ Phase diagram of the triangular-lattice Potts antiferromagnet ⋮ Transfer matrices and partition-function zeros for antiferromagnetic Potts models. VI. Square lattice with extra-vertex boundary conditions ⋮ Logarithmic corrections to the free energy from sharp corners with angle 2π

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