The Hilbert series of the clique complex
2005 (English)In: Graphs and Combinatorics, ISSN 0911-0119, E-ISSN 1435-5914, Vol. 21, no 4, 401-405 p.Article in journal (Refereed) Published
For a graph G, we show a theorem that establishes a correspondence between the fine Hilbert series of the Stanley-Reisner ring of the clique complex for the complementary graph of G and the fine subgraph polynomial of G. We obtain from this theorem some corollaries regarding the independent set complex and the matching complex.
Place, publisher, year, edition, pages
2005. Vol. 21, no 4, 401-405 p.
Stanley-Reisner ring, Clique complex, Hilbert series, Subgraph polynomial
Research subject Mathematics
IdentifiersURN: urn:nbn:se:su:diva-36829DOI: 10.1007/s00373-005-0634-zOAI: oai:DiVA.org:su-36829DiVA: diva2:290525