Let G be a bipartite graph with edge ideal I (G) whose quotient ring R/I (G) is sequentially
Cohen–Macaulay. We prove:(1) the independence complex of G must be vertex …

Let 𝒟 be a weighted oriented graph and let I (𝒟) be its edge ideal. Under a natural condition
that the underlying (undirected) graph of 𝒟 contains a perfect matching consisting of leaves …

Cohen-Macaulay edge ideal whose height is half of the number of vertices Page 1 Nagoya
Math. J. 201 (2011), 117–131 DOI 10.1215/00277630-2010-018 COHEN-MACAULAY EDGE …

We study the algebraic invariants namely depth, Stanley depth, regularity and projective
dimension of the residue class rings of the edge ideals associated with the corona product of …

We apply some basic notions from combinatorial topology to establish various algebraic
properties of edge ideals of graphs and more general Stanley-Reisner rings. In this way we …

The cut sets of a graph are special sets of vertices whose removal disconnects the graph.
They are fundamental in the study of binomial edge ideals, since they encode their minimal …

Let I ( G , w ) \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}
\usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} …

Let G be a (C 4, 2 K 2)-free graph with edge ideal I (G)⊂ k [x 1,…, xn]. We show that I (G) s
has linear resolution for every s≥ 2. Also, we show that every power of the vertex cover …

We describe a combinatorial condition on a graph which guarantees that all powers of its
vertex cover ideal are componentwise linear. Then motivated by Eagon and Reiner's …

arXiv:2402.16166v1 [math.AC] 25 Feb 2024 Page 1 arXiv:2402.16166v1 [math.AC] 25 Feb 2024
PROJECTIVE DIMENSION AND REGULARITY OF 3-PATH IDEALS OF UNICYCLIC GRAPHS …