Graph invariants in the spin model

DOI10.1016/j.jctb.2008.10.003zbMath1194.05097OpenAlexW2003078549MaRDI QIDQ1003854

Alexander Schrijver

Publication date: 4 March 2009

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jctb.2008.10.003

zbMATH Keywords

spin modelpartition functiongraph invariantvertex modelreflection positive

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items

Perfect matchings, rank of connection tensors and graph homomorphisms ⋮ On partition functions for 3-graphs ⋮ Graph parameters from symplectic group invariants ⋮ Characterizing partition functions of the vertex model ⋮ The rank of edge connection matrices and the dimension of algebras of invariant tensors ⋮ Characterizing partition functions of the edge-coloring model by rank growth ⋮ Dual graph homomorphism functions ⋮ On the number of \(B\)-flows of a graph ⋮ Characterizing partition functions of the spin model by rank growth ⋮ Contractors for flows

Cites Work

• Graph invariants related to statistical mechanical models: Examples and problems
• Limits of dense graph sequences
• Reflection positivity, rank connectivity, and homomorphism of graphs
• Edge coloring models and reflection positivity