Very well-covered graphs and local cohomology of their residue rings by the edge ideals

K. Kimura, M. R. Pournaki, N. Terai, S. Yassemi

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we deal with very well-covered graphs. We first describe the structure of these kinds of graphs based on the structure of Cohen–Macaulay very well-covered graphs. As an application, we analyze the structure of local cohomology of the residue rings by the edge ideals of very well-covered graphs. Also, we give different formulas of regularity and depth of these rings from known ones and we finally treat the CMt property.

Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalJournal of Algebra
Volume606
DOIs
Publication statusPublished - Sep 15 2022

Keywords

  • CM property
  • Depth
  • Edge ideal
  • Height
  • Independence complex
  • Local cohomology
  • Regularity
  • Simplicial complex
  • Stanley–Reisner ideal
  • Very well-covered graph

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint

Dive into the research topics of 'Very well-covered graphs and local cohomology of their residue rings by the edge ideals'. Together they form a unique fingerprint.

Cite this