Results 1 to 10 of about 213,086 (270)

Koszul binomial edge ideals [PDF]

, 2013
It is shown that if the binomial edge ideal of a graph $G$ defines a Koszul algebra, then $G$ must be chordal and claw free.
A. Conca, A. Rauf, G.A. Dirac, H. Ohsugi, H. Ohsugi, J. Backelin, J. Herzog, J. Tate, J.E. Roos, K. Matsuda, L.L. Avramov, L.L. Avramov, M. Crupi, M. Ohtani, T.H. Gulliksen, V. Ene, V. Ene   +16 more
core   +2 more sources

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

Cohen-Macaulay binomial edge ideals [PDF]

Nagoya Mathematical Journal, 2011
We study the depth of classes of binomial edge ideals and classify all closed graphs whose binomial edge ideal is Cohen--Macaulay.Comment: 9 ...
Ene, Viviana, Herzog, Juergen, Hibi, Takayuki   +2 more
core   +5 more sources

Edge ideals and DG algebra resolutions [PDF]

Le Matematiche, 2015
Let R = S/I where S = k[T_1, . . . , T_n] and I is a homogeneous ideal in S. The acyclic closure R<Y> of k over R is a DG algebra resolution obtained by means of Tate’s process of adjoining variables to kill cycles.
Adam Boocher, Alessio D'Alì, Eloisa Grifo, Jonathan Montano, Alessio Sammartano   +4 more
doaj   +5 more sources

Comparing Powers of Edge Ideals [PDF]

Journal of Algebra and Its Applications, 2018
Given a nontrivial homogeneous ideal $I\subseteq k[x_1,x_2,\ldots,x_d]$, a problem of great recent interest has been the comparison of the $r$th ordinary power of $I$ and the $m$th symbolic power $I^{(m)}$.
Janssen, Mike, Kamp, Thomas, Woude, Jason Vander   +2 more
core   +5 more sources

Regularity of the edge ideals of perfect [ν,h]-ary trees and some unicyclic graphs [PDF]

Heliyon
We 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, Muhammad Ishaq, Sarah Aljohani   +2 more
doaj   +2 more sources

Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs [PDF]

Heliyon
Let 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, Ibad Ur Rehman, Muhammad Ishaq   +2 more
doaj   +2 more sources

Powers of edge ideals

Le Matematiche, 2012
We compute the Betti numbers for all the powers of initial and final lexsegment edge ideals. For the powers of the edge ideal of an anti–d−path, we prove that they have linear quotients and we characterize the normally torsion–free ideals. We determine a
Carmela Ferrò, Mariella Murgia, Oana Stefania Olteanu   +2 more
doaj   +3 more sources

Computing degree based topological indices of algebraic hypergraphs [PDF]

Heliyon
Topological indices are numerical parameters that indicate the topology of graphs or hypergraphs. A hypergraph H=(V(H),E(H)) consists of a vertex set V(H) and an edge set E(H), where each edge e∈E(H) is a subset of V(H) with at least two elements.
Amal S. Alali, Esra Öztürk Sözen, Cihat Abdioğlu, Shakir Ali, Elif Eryaşar   +4 more
doaj   +2 more sources

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.
openaire   +3 more sources