General structural results for Potts model partition functions on lattice strips

DOI10.1016/S0378-4371(02)01028-2zbMath1001.82030arXivcond-mat/0201223OpenAlexW3100999033MaRDI QIDQ1847455

Robert Shrock, Shu-Chiuan Chang

Publication date: 26 November 2002

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0201223

zbMATH Keywords

chromatic polynomialground-state degeneracy

Mathematics Subject Classification ID

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

Related Items (2)

Tutte polynomial of scale-free networks ⋮ Polynomial sequences of binomial-type arising in graph theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Limits of chromatic zeros of some families of maps
• A zero-free interval for chromatic polynomials
• On the roots of chromatic polynomials
• Exact Potts model partition function on strips of the triangular lattice
• Ground state entropy of the Potts antiferromagnet on strips of the square lattice
• \(T=0\) partition functions for Potts antiferromagnets on lattice strips with fully periodic boundary conditions
• A matrix method for chromatic polynomials
• \(T=0\) partition functions for Potts antiferromagnets on Möbius strips and effects of graph topology
• Recursive families of graphs
• Chromatic polynomials of large triangular lattices
• Colouring Square Lattice Graphs
• A Zero-Free Interval for Chromatic Polynomials of Graphs
• Location of Zeros of Chromatic and Related Polynomials of Graphs
• On dichromatic polynomials
• A Contribution to the Theory of Chromatic Polynomials
• A new 5‐arc‐transitive cubic graph
• Structural properties of Potts model partition functions and chromatic polynomials for lattice strips
• Exact Potts model partition functions on strips of the honeycomb lattice
• Exact Potts model partition functions on wider arbitrary-length strips of the square lattice
• Ground state entropy of the Potts antiferromagnet on triangular lattice strips.
• Transfer matrices and partition-function zeros for antiferromagnetic Potts models. II: Extended results for square-lattice chromatic polynomial.
• Potts model partition functions for self-dual families of strip graphs

This page was built for publication: General structural results for Potts model partition functions on lattice strips