Hilbert function and facet ideals of products of simplicial complexes

DOI10.1007/s13226-021-00147-zzbMath1483.13036OpenAlexW3196635502MaRDI QIDQ2065343

Nazeran Idrees, Hafiza Nimra Nawaz

Publication date: 7 January 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-021-00147-z

zbMATH Keywords

\(f\)-vectorsimplicial complexHilbert functiongraph operationsStanley-Reisner idealfacet ideal

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Simplicial sets and complexes in algebraic topology (55U10) Connectivity (05C40) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to combinatorics (05-01) Vertex degrees (05C07)

Cites Work

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• On a lower bound for the connectivity of the independence complex of a graph
• The first and second Zagreb indices of some graph operations
• The facet ideal of a simplicial complex
• Simplicial complexes of graphs
• F-Index of some graph operations
• A Survey of Stanley–Reisner Theory
• Hosoya polynomial of composite graphs

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