[PDF][PDF] Edge ideals: algebraic and combinatorial properties
S Morey, RH Villarreal - Progress in commutative algebra, 2012 - library.oapen.org
Let C be a clutter and let IC/ R be its edge ideal. This is a survey paper on the algebraic and
combinatorial properties of R= IC/and C, respectively. We give a criterion to estimate the …
combinatorial properties of R= IC/and C, respectively. We give a criterion to estimate the …
[HTML][HTML] C4-free edge ideals
E Nevo, I Peeva - Journal of Algebraic Combinatorics, 2013 - Springer
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Menu Find a journal Publish with us Search Cart 1.Home 2.Journal of Algebraic …
Menu Find a journal Publish with us Search Cart 1.Home 2.Journal of Algebraic …
Regularity, depth and arithmetic rank of bipartite edge ideals
M Kummini - Journal of Algebraic Combinatorics, 2009 - Springer
We study minimal free resolutions of edge ideals of bipartite graphs. We associate a directed
graph to a bipartite graph whose edge ideal is unmixed, and give expressions for the …
graph to a bipartite graph whose edge ideal is unmixed, and give expressions for the …
Cohen-Macaulay edge ideal whose height is half of the number of vertices
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 …
Math. J. 201 (2011), 117–131 DOI 10.1215/00277630-2010-018 COHEN-MACAULAY EDGE …
[HTML][HTML] Bounds on the regularity and projective dimension of ideals associated to graphs
In this paper, we give new upper bounds on the regularity of edge ideals whose resolutions
are k-step linear; surprisingly, the bounds are logarithmic in the number of variables. We …
are k-step linear; surprisingly, the bounds are logarithmic in the number of variables. We …
Matchings, coverings, and Castelnuovo-Mumford regularity
R Woodroofe - Journal of Commutative Algebra, 2014 - JSTOR
We show that the co-chordal cover number of a graph 𝐺 gives an upper bound for the
Castelnuovo-Mumford regularity of the associated edge ideal. Several known combinatorial …
Castelnuovo-Mumford regularity of the associated edge ideal. Several known combinatorial …
Regularity and projective dimension of the edge ideal of 𝐶₅-free vertex decomposable graphs
F Khosh-Ahang, S Moradi - Proceedings of the American Mathematical …, 2014 - ams.org
In this paper, we explain the regularity, projective dimension and depth of the edge ideal of
some classes of graphs in terms of invariants of graphs. We show that for a $ C_5 $-free …
some classes of graphs in terms of invariants of graphs. We show that for a $ C_5 $-free …
Regularity of edge ideals and their powers
A Banerjee, SK Beyarslan, H Huy Tài - Advances in Algebra: SRAC 2017 …, 2019 - Springer
We survey recent studies on the Castelnuovo–Mumford regularity of edge ideals of graphs
and their powers. Our focus is on bounds and exact values of reg I (G) reg I (G) and the …
and their powers. Our focus is on bounds and exact values of reg I (G) reg I (G) and the …
Algebraic properties of the path ideal of a tree
J He, AV Tuyl - Communications in Algebra®, 2010 - Taylor & Francis
The path ideal (of length t≥ 2) of a directed graph Γ is the monomial ideal, denoted I t (Γ),
whose generators correspond to the directed paths of length t in Γ. We study some of the …
whose generators correspond to the directed paths of length t in Γ. We study some of the …