Plane graphs and Cohen-Macaulay posets

DOI10.1016/S0195-6698(89)80070-8zbMath0694.05029MaRDI QIDQ908934

Takayuki Hibi

Publication date: 1989

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

Cohen-Macaulayplane graphsface poset

Mathematics Subject Classification ID

Partial orders, general (06A06) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (2)

Cohen-Macaulay type of the face poset of a plane graph ⋮ Simplicial complexes and Macaulay's inverse systems

Cites Work

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• Posets, regular CW complexes and Bruhat order
• Level rings and algebras with straightening laws
• Cohen-Macaulay quotients of polynomial rings
• Canonical modules and Cohen-Macaulay types of partially ordered sets
• Cohen-Macaulay type of the face poset of a plane graph
• Cohen-Macaulay connectivity and geometric lattices
• Union and glueing of a family of Cohen-Macaulay partially ordered sets
• Combinatorics and commutative algebra

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