Results 131 to 140 of about 1,836,425 (146)

Closed binomial edge ideals

Journal für die reine und angewandte Mathematik (Crelles Journal), 2023
Abstract We prove a conjecture by Ene, Herzog, and Hibi (2011) that the Betti numbers of the binomial edge ideal J G
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Binomial Edge Ideals and Related Ideals

2018
In this chapter we consider classes of binomial ideals which are naturally attached to finite simple graphs. The first of these classes are the binomial edge ideals. These ideals may also be viewed as ideals generated by a subset of 2-minors of a (2 × n)-matrix of indeterminates. Their Grobner bases will be computed.
Jürgen Herzog, Takayuki Hibi, Hidefumi Ohsugi   +2 more
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A study on binomial edge ideals [PDF]

, 2021
In this thesis, we study the binomial edge ideals associated with graphs. We review their reduced Gröber basis and minimal primary decompositions. Moreover, we also give an overview of recent results related to the depth, betti numbers, and regularity of binomial edge ideals arising from di erent classes of simple graphs.
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Depth of powers of binomial edge ideals of complete bipartite graphs

Communications in Algebra, 2023
Zhongming Tang
exaly  

Regularity of powers of (parity) binomial edge ideals

Journal of Algebraic Combinatorics, 2022
Zhu Guangjun, Yi-Huang Shen
exaly  

On the extremal Betti numbers of the binomial edge ideal of closed graphs

Mathematische Nachrichten, 2018
Trong Hoang
exaly  

Depth and extremal Betti number of binomial edge ideals

Mathematische Nachrichten, 2020
Arvind Kumar, Arvind Kumar, Rajib Sarkar   +2 more
exaly  

On the regularity of binomial edge ideals

Mathematische Nachrichten, 2015
Viviana Ene
exaly  

Some Cohen–Macaulay and Unmixed Binomial Edge Ideals

Communications in Algebra, 2015
Dariush Kiani, Sara Saeedi Madani
exaly  

Binomial edge ideals and bounds for their regularity

Journal of Algebraic Combinatorics, 2020
Arvind Kumar, Arvind Kumar
exaly