English

Lower bounds for the depth of second power of edge ideals

Commutative Algebra 2022-02-28 v1 Combinatorics

Abstract

Assume that GG is a graph with edge ideal I(G)I(G). We provide sharp lower bounds for the depth of I(G)2I(G)^2 in terms of the star packing number of GG.

Keywords

Cite

@article{arxiv.2202.12661,
  title  = {Lower bounds for the depth of second power of edge ideals},
  author = {S. A. Seyed Fakhari},
  journal= {arXiv preprint arXiv:2202.12661},
  year   = {2022}
}