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

Arindam Banerjee and Vivek Mukundan
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Arindam Banerjee: Ramakrishna Mission Vivekananda Educational and Research Institute, Belur, West Bengal 711202, India
Vivek Mukundan: Department of Mathematics, University of Virginia, Charlottesville, VA 22902, USA

Mathematics, 2019, vol. 7, issue 8, 1-13

Abstract: 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 .

Keywords: Cohen Macaulay; Bipartite graphs; regular elements on powers of bipartite graphs; colon ideals; depth of powers of bipartite graphs; dstab; associated graded rings (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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