The Italian Identities For Hilbert Series Of Hypergraphs

Keywords

Graphs; Hilbert series; Hypergraphs

Abstract

Given a graph with loops or a hypergraph, this paper demonstrates that the Hilbert series of the associated graph or hypergraph ring is determined by the Hilbert series of the graph or hypergraph rings associated to the contraction, deletion, and extraction of an edge of the original graph or hypergraph. This enables inductive procedures to compute the Hilbert series of graph and hypergraph rings.

Publication Date

1-1-2018

Publication Title

Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie

Volume

61

Issue

2

Number of Pages

157-166

Document Type

Article

Personal Identifier

scopus

Socpus ID

85048435672 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85048435672

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