scholarly journals Regularity 3 in edge ideals associated to bipartite graphs

2013 ◽  
Vol 39 (4) ◽  
pp. 919-937 ◽  
Author(s):  
Oscar Fernández-Ramos ◽  
Philippe Gimenez
Keyword(s):  
Bipartite Graphs ◽  
Edge Ideals

scholarly journals Extremal Betti Numbers of Some Cohen–Macaulay Binomial Edge Ideals

2021 ◽  
Vol 28 (03) ◽  
pp. 415-430
Author(s):  
Carla Mascia ◽  
Giancarlo Rinaldo
Keyword(s):  
Betti Numbers ◽  
Bipartite Graphs ◽  
Poincaré Series ◽  
Poincare Series ◽  
Edge Ideals

We provide the regularity and the Cohen–Macaulay type of binomial edge ideals of Cohen–Macaulay cones, and we show the extremal Betti numbers of some classes of Cohen–Macaulay binomial edge ideals: Cohen–Macaulay bipartite and fan graphs. In addition, we compute the Hilbert–Poincaré series of the binomial edge ideals of some Cohen–Macaulay bipartite graphs.

scholarly journals Regularity of binomial edge ideals of Cohen-Macaulay bipartite graphs

2019 ◽  
Vol 47 (11) ◽  
pp. 4797-4805 ◽  
Author(s):  
A. V. Jayanthan ◽  
Arvind Kumar
Keyword(s):  
Bipartite Graphs ◽  
Edge Ideals

scholarly journals Cohen Macaulay Bipartite Graphs and Regular Element on the Powers of Bipartite Edge Ideals

Mathematics ◽  
2019 ◽  
Vol 7 (8) ◽  
pp. 762
Author(s):  
Arindam Banerjee ◽  
Vivek Mukundan
Keyword(s):  
Regular Element ◽  
Bipartite Graphs ◽  
Edge Ideals ◽  
Regular Elements

In this article, we discuss new characterizations of Cohen-Macaulay bipartite edge ideals. For arbitrary bipartite edge ideals I ( G ) , we also discuss methods to recognize regular elements on I ( G ) s for all s ≥ 1 in terms of the combinatorics of the graph G.

scholarly journals Green-Lazarsfeld condition for toric edge ideals of bipartite graphs

2020 ◽  
Vol 562 ◽  
pp. 1-27
Author(s):  
Zachary Greif ◽  
Jason McCullough
Keyword(s):  
Bipartite Graphs ◽  
Edge Ideals

scholarly journals Powers of edge ideals of regularity three bipartite graphs

2017 ◽  
Vol 9 (4) ◽  
pp. 441-454 ◽  
Author(s):  
Ali Alilooee ◽  
Arindam Banerjee
Keyword(s):  
Bipartite Graphs ◽  
Edge Ideals

scholarly journals Binomial edge ideals of bipartite graphs

2018 ◽  
Vol 70 ◽  
pp. 1-25 ◽  
Author(s):  
Davide Bolognini ◽  
Antonio Macchia ◽  
Francesco Strazzanti
Keyword(s):  
Bipartite Graphs ◽  
Edge Ideals

Bipartite Graphs and their Applications

1998 ◽  
Author(s):  
Armen S. Asratian ◽  
Tristan M. J. Denley ◽  
Roland Häggkvist
Keyword(s):  
Bipartite Graphs

Hurricane in Bipartite Graphs: The Lethal Nodes of Butterflies

2020 ◽  
Author(s):  
Qiuyu Zhu ◽  
Jiahong Zheng ◽  
Hao Yang ◽  
Chen Chen ◽  
Xiaoyang Wang ◽  
...  
Keyword(s):  
Bipartite Graphs
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