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Extremes of the internal energy of the Potts model on cubic graphs

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Publication:4684327
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DOI10.1002/rsa.20767zbMath1401.05108arXiv1610.08496OpenAlexW2541525350MaRDI QIDQ4684327

Matthew Jenssen, Will Perkins, Ewan Davies, Barnaby Roberts

Publication date: 28 September 2018

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.08496


zbMATH Keywords

partition functionIsing modelPotts modelgraph coloringsgraph homomorphims


Mathematics Subject Classification ID

Graph polynomials (05C31) Extremal problems in graph theory (05C35) Coloring of graphs and hypergraphs (05C15)


Related Items (8)

Extremal Regular Graphs: Independent Sets and Graph Homomorphisms ⋮ A proof of Tomescu's graph coloring conjecture ⋮ On the number of independent sets in uniform, regular, linear hypergraphs ⋮ Counting proper colourings in 4-regular graphs via the Potts model ⋮ Extremal colorings and independent sets ⋮ Counting independent sets in cubic graphs of given girth ⋮ The number of independent sets in an irregular graph ⋮ A reverse Sidorenko inequality







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