Results 1 to 10 of about 367 (93)

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.
Tul Zahra F, Ishaq M, Aljohani S.
europepmc   +2 more sources

The regularity of binomial edge ideals of graphs [PDF]

AUT Journal of Mathematics and Computing, 2020
In this paper, we study the Castelnuovo-Mumford regularity and the graded Betti numbers of the binomial edge ideals of some classes of graphs. Our special attention is devoted to a conjecture which asserts that the number of maximal cliques of a graph ...
Sara Saeedi Madani, Dariush Kiani
doaj   +1 more source

Bounds for the minimum distance function

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
Let I be a homogeneous ideal in a polynomial ring S. In this paper, we extend the study of the asymptotic behavior of the minimum distance function δI of I and give bounds for its stabilization point, rI, when I is an F -pure or a square-free monomial ...
Núñez-Betancourt Luis, Pitones Yuriko, Villarreal Rafael H.   +2 more
doaj   +1 more source

The Regularity of Some Families of Circulant Graphs

Mathematics, 2019
We compute the Castelnuovo−Mumford regularity of the edge ideals of two families of circulant graphs, which includes all cubic circulant graphs.
Miguel Eduardo Uribe-Paczka, Adam Van Tuyl   +1 more
doaj   +1 more source

A remark on sequentially Cohen-Macaulay monomial ideals [PDF]

Transactions on Combinatorics
Let $R=K[x_1,\ldots,x_n]$ be the polynomial ring in $n$ variables over a field $K$. We show that if $G$ is a connected graph with a basic $5$-cycle $C$, then $G$ is a sequentially Cohen-Macaulay graph if and only if there exists a shedding vertex $x$ of $
Mozhgan Koolani, Amir Mafi
doaj   +1 more source

Regularity of second power of edge ideals

پژوهش‌های ریاضی, 2022
Introduction ‎‎ The study of the minimal free resolution of homogenous ideals and their powers is an interesting and active area of research in commutative algebra.
Seyed Amin Seyed Fakhari
doaj  

Syzygies, Betti Numbers, and Regularity of Cover Ideals of Certain Multipartite Graphs

Mathematics, 2019
Let G be a finite simple graph on n vertices. Let J G ⊂ K [ x 1 , … , x n ] be the cover ideal of G. In this article, we obtain syzygies, Betti numbers, and Castelnuovo−Mumford regularity of J G s for all s ...
A. V. Jayanthan, Neeraj Kumar
doaj   +1 more source

Wedderburn components, the index theorem and continuous Castelnuovo-Mumford regularity for semihomogeneous vector bundles

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021
We study the property of continuous Castelnuovo-Mumford regularity, for semihomogeneous vector bundles over a given Abelian variety, which was formulated in A. Küronya and Y. Mustopa [Adv. Geom. 20 (2020), no. 3, 401-412].
Nathan Grieve
doaj  

Solving Degree Bounds for Iterated Polynomial Systems

IACR Transactions on Symmetric Cryptology
For Arithmetization-Oriented ciphers and hash functions Gröbner basis attacks are generally considered as the most competitive attack vector. Unfortunately, the complexity of Gröbner basis algorithms is only understood for special cases, and it is ...
Matthias Johann Steiner
doaj   +1 more source

Regularity of quasi-symbolic and bracket powers of Borel type ideals [PDF]

Romanian Journal of Mathematics and Computer Science, 2014
In this paper, we show that the regularity of the q-th quasi-symbolic power I^{((q))} and the regularity of the q-th bracket power I^{[q]} of a monomial ideal of Borel type I, satisfy the relations reg(I^{((q))})\le  q reg(I), respectively reg(I^{[q ...
Mircea Cimpoeas
doaj