Results 1 to 10 of about 136,089 (106)

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

No short polynomials vanish on bounded rank matrices

Bulletin of the London Mathematical Society, Volume 55, Issue 4, Page 1791-1807, August 2023., 2023
Abstract We show that the shortest non‐zero polynomials vanishing on bounded‐rank matrices and skew‐symmetric matrices are the determinants and Pfaffians characterising the rank. Algebraically, this means that in the ideal generated by all t$t$‐minors or t$t$‐Pfaffians of a generic matrix or skew‐symmetric matrix, one cannot find any polynomial with ...
Jan Draisma, Thomas Kahle, Finn Wiersig
wiley   +1 more source

On subvarieties of singular quotients of bounded domains

Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3208-3239, December 2022., 2022
Abstract Let X$X$ be a quotient of a bounded domain in Cn$\mathbb {C}^n$. Under suitable assumptions, we prove that every subvariety of X$X$ not included in the branch locus of the quotient map is of log‐general type in some orbifold sense. This generalizes a recent result by Boucksom and Diverio, which treated the case of compact, étale quotients ...
Benoît Cadorel, Simone Diverio, Henri Guenancia   +2 more
wiley   +1 more source

Complete moduli of cubic threefolds and their intermediate Jacobians

Proceedings of the London Mathematical Society, Volume 122, Issue 2, Page 259-316, February 2021., 2021
Abstract The intermediate Jacobian map, which associates to a smooth cubic threefold its intermediate Jacobian, does not extend to the GIT compactification of the space of cubic threefolds, not even as a map to the Satake compactification of the moduli space of principally polarized abelian fivefolds.
Sebastian Casalaina‐Martin, Samuel Grushevsky, Klaus Hulek, Radu Laza   +3 more
wiley   +1 more source

Certain Bounds of Regularity of Elimination Ideals on Operations of Graphs

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
Elimination ideals are regarded as a special type of Borel type ideals, obtained from degree sequence of a graph, introduced by Anwar and Khalid. In this paper, we compute graphical degree stabilities of Kn∨Cm and Kn∗Cm by using the DVE method. We further compute sharp upper bound for Castelnuovo–Mumford regularity of elimination ideals associated to ...
Zongming Lv, Muhammad Junaid Ali Junjua, Muhammad Tajammal Tahir, Khurram Shabbir, Muhammad Faisal Nadeem   +4 more
wiley   +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