Results 1 to 10 of about 1,118,707 (279)
Matchings and squarefree powers of edge ideals [PDF]
Journal of Combinatorial Theory - Series A, 2022 21 pages, 6 ...
Nursel Erey +2 more
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Smoothness in Binomial Edge Ideals [PDF]
Mathematics, 2016 In this paper we study some geometric properties of the algebraic set associated to the binomial edge ideal of a graph. We study the singularity and smoothness of the algebraic set associated to the binomial edge ideal of a graph. Some of these algebraic
Hamid Damadi, Farhad Rahmati
doaj +3 more sources
Journal of Combinatorial Theory - Series A, 2021 The aim of this work is to study the v-number of edge ideals of clutters and graphs. We relate the v-number with the regularity of edge ideals and study the combinatorial structure of the graphs whose edge ideals have their second symbolic power Cohen-Macaulay.
Rafael H Villarreal, Delio Jaramillo
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Licci binomial edge ideals [PDF]
Journal of Combinatorial Theory - Series A, 2020 We give a complete characterization of graphs whose binomial edge ideal is licci. An important tool is a new general upper bound for the regularity of binomial edge ideals.
Viviana Ene +2 more
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Regularity of the edge ideals of perfect [ν,h]-ary trees and some unicyclic graphs [PDF]
HeliyonWe compute the Castelnuovo-Mumford regularity of the quotient rings of edge ideals of perfect [ν,h]-ary trees and some unicyclic graphs.
Fatima Tul Zahra +2 more
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Gorenstein binomial edge ideals [PDF]
Mathematische Nachrichten, 2021 AbstractWe classify connected graphs G whose binomial edge ideal is Gorenstein. In our proofs we use Frobenius type techniques and F‐pure thresholds.
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Forum of Mathematics, SigmaThe study of Koszul binomial edge ideals was initiated by V. Ene, J. Herzog, and T. Hibi in 2014, who found necessary conditions for Koszulness. The binomial edge ideal $J_G$ associated to a finite simple graph G is always generated by quadrics ...
Adam LaClair +3 more
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Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs [PDF]
HeliyonLet Q be a polynomial ring over a field F and I be an edge ideal associated with the whisker graph of a cubic circulant graph. We discuss the regularity, depth, Stanley depth, and projective dimension of Q/I.
Mujahid Ullah Khan Afridi +2 more
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The regularity of powers of edge ideals [PDF]
Journal of Algebraic Combinatorics, 2014 Accepted for publication in Journal of Algebraic ...
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Journal of Algebraic Combinatorics, 2012 The paper under review is inspired by the question of for which graphs do all powers of the edge ideals have linear resolutions. It is known (cf. \textit{D. Eisenbud} et al., [Compos. Math. 141, No. 6, 1460--1478 (2005; Zbl 1086.14044)] and \textit{H.T. Hà} and \textit{A. Van Tuyl} [J. Algebra 309, No. 1, 405--425 (2007; Zbl 1151.13017)]) that the edge
Eran Nevo, Irena Peeva
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