On the NBC-complexes and \(\beta \)-invariants of abstract convex geometries

DOI10.1016/j.dam.2008.12.002zbMath1171.52002OpenAlexW2044684756MaRDI QIDQ1026142

Masataka Nakamura

Publication date: 24 June 2009

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2008.12.002

zbMATH Keywords

characteristic polynomialclosure operatormatroidbroken circuit complexrooted circuit

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (1)

A broken cycle theorem for the restrained chromatic function

Cites Work

• The theory of convex geometries
• Meet-distributive lattices and the anti-exchange closure
• A \(\beta\) invariant for greedoids and antimatroids
• Counting the interior points of a point configuration
• The Broken-Circuit Complex
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
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