[图书][B] Binomial ideals
J Herzog, T Hibi, H Ohsugi - 2018 - Springer
Historically, commutative algebra, whose foundations were laid by Dedekind, Hilbert,
Noether, and Krull, has developed in step with algebraic geometry, number theory …
Noether, and Krull, has developed in step with algebraic geometry, number theory …
Regularity bounds for binomial edge ideals
K Matsuda, S Murai - Journal of Commutative Algebra, 2013 - JSTOR
REGULARITY BOUNDS FOR BINOMIAL EDGE IDEALS 1. Introduction. Let G be a simple
graph on the vertex set [n] = {1, 2,... ,n}. The b Page 1 JOURNAL OF COMMUTATIVE …
graph on the vertex set [n] = {1, 2,... ,n}. The b Page 1 JOURNAL OF COMMUTATIVE …
[HTML][HTML] The Castelnuovo–Mumford regularity of binomial edge ideals
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On the regularity of binomial edge ideals
V Ene, A Zarojanu - Mathematische Nachrichten, 2015 - Wiley Online Library
We study the regularity of binomial edge ideals. For a closed graph G we show that the
regularity of the binomial edge ideal coincides with the regularity of and can be expressed in …
regularity of the binomial edge ideal coincides with the regularity of and can be expressed in …
Regularity of powers of quadratic sequences with applications to binomial ideals
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 an ideal generated by a homogeneous quadratic sequence in a polynomial ring in terms …
On the extremal Betti numbers of binomial edge ideals of block graphs
arXiv:1802.06020v1 [math.AC] 16 Feb 2018 Page 1 arXiv:1802.06020v1 [math.AC] 16 Feb
2018 ON THE EXTREMAL BETTI NUMBERS OF BINOMIAL EDGE IDEALS OF BLOCK …
2018 ON THE EXTREMAL BETTI NUMBERS OF BINOMIAL EDGE IDEALS OF BLOCK …
Regularity of binomial edge ideals of Cohen-Macaulay bipartite graphs
AV Jayanthan, A Kumar - Communications in Algebra, 2019 - Taylor & Francis
Let G be a finite simple graph on n vertices and JG denote the corresponding binomial edge
ideal in S= K [x 1,…, xn, y 1,…, yn]. We compute the Castelnuovo-Mumford regularity of S/JG …
ideal in S= K [x 1,…, xn, y 1,…, yn]. We compute the Castelnuovo-Mumford regularity of S/JG …
A proof for a conjecture on the regularity of binomial edge ideals
In this paper we introduce the concept of clique disjoint edge sets in graphs. Then, for a
graph G, we define the invariant η (G) as the maximum size of a clique disjoint edge set in G …
graph G, we define the invariant η (G) as the maximum size of a clique disjoint edge set in G …
Some Cohen–Macaulay and unmixed binomial edge ideals
D Kiani, S Saeedi Madani - Communications in Algebra, 2015 - Taylor & Francis
We study unmixed and Cohen-Macaulay properties of the binomial edge ideal of some
classes of graphs. We compute the depth of the binomial edge ideal of a generalized block …
classes of graphs. We compute the depth of the binomial edge ideal of a generalized block …
Regularity of binomial edge ideals of certain block graphs
AV Jayanthan, N Narayanan… - Proceedings …, 2019 - Springer
We prove that the regularity of binomial edge ideals of graphs obtained by gluing two graphs
at a free vertex is the sum of the regularity of individual graphs. As a consequence, we …
at a free vertex is the sum of the regularity of individual graphs. As a consequence, we …