The Hilbert series of the face ring of a flag complex

DOI10.1007/s003730200045zbMath1031.13012OpenAlexW2137858334MaRDI QIDQ1865148

Paul Renteln

Publication date: 25 March 2003

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003730200045

zbMATH Keywords

Hilbert seriesclique complexflag complexface ringsubgraph polynomial

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Related Items (7)

Algebraic invariants for right-angled Artin groups. ⋮ A New Method for Enumerating Independent Sets of a Fixed Size in General Graphs ⋮ Enumerating conjugacy classes of graphical groups over finite fields ⋮ Regularity and \(h\)-polynomials of edge ideals ⋮ Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs ⋮ The Hilbert series of the clique complex ⋮ Simplicial simple-homotopy of flag complexes in terms of graphs

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