LAUSR

About LAUSR
Donate
Contact Us

Follow us:

You are not signed in:

Sign Up!


   Articles with "binomial edge" as a keyword



Photo from academic.microsoft.com

Gorenstein binomial edge ideals

Sign Up to like & get
recommendations! Published in 2021 at "Mathematische Nachrichten"

DOI: 10.1002/mana.201900251

Abstract: We classify connected graphs G whose binomial edge ideal is Gorenstein. The proof uses methods in prime characteristic. read more here.

Keywords: binomial edge; gorenstein binomial; edge; edge ideals ... See more keywords
Photo from wikipedia

Binomial edge ideals and bounds for their regularity

Sign Up to like & get
recommendations! Published in 2020 at "Journal of Algebraic Combinatorics"

DOI: 10.1007/s10801-020-00939-2

Abstract: Let G be a simple graph on n vertices and $$J_G$$ denote the corresponding binomial edge ideal in $$S = K[x_1, \ldots , x_n, y_1, \ldots , y_n].$$ We prove that the Castelnuovo–Mumford regularity of… read more here.

Keywords: ideals bounds; edge; regularity binomial; binomial edge ... See more keywords

Binomial edge ideals of crown graphs

Sign Up to like & get
recommendations! Published in 2025 at "Journal of Algebraic Combinatorics"

DOI: 10.1007/s10801-025-01464-w

Abstract: In this article, we explore the class of graphs for which the projective dimension of the quotient of the binomial edge ideals matches the big height of that ideal. Additionally, we investigate the Vasconcelos number… read more here.

Keywords: edge ideals; crown graphs; binomial edge; ideals crown ... See more keywords

Regularity of powers of quadratic sequences with applications to binomial ideals

Sign Up to like & get
recommendations! Published in 2020 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2020.08.004

Abstract: Abstract In this article, we obtain an upper bound for the Castelnuovo-Mumford regularity of powers of an ideal generated by a homogeneous quadratic sequence in a polynomial ring in terms of the regularity of its… read more here.

Keywords: edge ideals; binomial ideals; regularity; binomial edge ... See more keywords

Krull dimension and regularity of binomial edge ideals of block graphs

Sign Up to like & get
recommendations! Published in 2019 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498820501339

Abstract: We give a lower bound for the Castelnuovo-Mumford regularity of binomial edge ideals of block graphs by computing the two distinguished extremal Betti numbers of a new family of block graphs, called flower graphs. Moreover,… read more here.

Keywords: edge ideals; ideals block; block graphs; regularity ... See more keywords