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Cohen-Macaulay and (S2) Properties of the Second Power of Squarefree Monomial Ideals
Open AccessArticle

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

1
Ramakrishna Mission Vivekananda Educational and Research Institute, Belur, West Bengal 711202, India
2
Department of Mathematics, University of Virginia, Charlottesville, VA 22902, USA
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(8), 762; https://doi.org/10.3390/math7080762
Received: 8 August 2019 / Revised: 8 August 2019 / Accepted: 13 August 2019 / Published: 20 August 2019
(This article belongs to the Special Issue Current Trends on Monomial and Binomial Ideals)
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. View Full-Text
Keywords: Cohen Macaulay; Bipartite graphs; regular elements on powers of bipartite graphs; colon ideals; depth of powers of bipartite graphs; dstab; associated graded rings Cohen Macaulay; Bipartite graphs; regular elements on powers of bipartite graphs; colon ideals; depth of powers of bipartite graphs; dstab; associated graded rings
MDPI and ACS Style

Banerjee, A.; Mukundan, V. Cohen Macaulay Bipartite Graphs and Regular Element on the Powers of Bipartite Edge Ideals. Mathematics 2019, 7, 762.

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