On the Broken-Circuit Complex of Graphs

DOI10.1080/00927870802545737zbMath1203.13025OpenAlexW2024482565MaRDI QIDQ3578234

José Martínez-Bernal, Criel Merino, Aurora Llamas

Publication date: 14 July 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802545737

zbMATH Keywords

Stanley-Reisner ring\(h\)-vectorchromatic polynomiallevel ringbroken-circuit complexdouble Cohen-Macaulaydouble pure shellable

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Coloring of graphs and hypergraphs (05C15) Cohen-Macaulay modules (13C14)

Related Items (1)

A broken cycle theorem for the restrained chromatic function

Cites Work

• Unnamed Item
• Chromatic polynomials and order ideals of monomials
• The weak and strong Lefschetz properties for Artinian \(K\)-algebras
• Combinatorics and commutative algebra.
• Acyclic orientations of graphs
• Stanley-reisner rings with pure resolutions
• A logical expansion in mathematics
• An introduction to chromatic polynomials

This page was built for publication: On the Broken-Circuit Complex of Graphs