The monopole-dimer model for Cartesian products of graphs: extended abstract

zbMath1515.05151arXiv2205.11791MaRDI QIDQ6103837

Arvind Ayyer, Anita Arora

Publication date: 5 June 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.11791

zbMATH Keywords

Pfaffian orientationCartesian productplane graphdimer modelmonopole-dimer model

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Graph operations (line graphs, products, etc.) (05C76)

Cites Work

• Unnamed Item
• A statistical model of current loops and magnetic monopoles
• Squareness for the monopole-dimer model
• The statistics of dimers on a lattice
• Statistical Mechanics of Dimers on a Plane Lattice
• Dimer problem in statistical mechanics-an exact result
• A Lower Bound for the Monomer-Dimer Problem

This page was built for publication: The monopole-dimer model for Cartesian products of graphs: extended abstract