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

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Veröffentlicht in:	Mathematics (Basel) 2019-08, Vol.7 (8), p.762
Hauptverfasser:	Banerjee, Arindam, Mukundan, Vivek
Format:	Artikel
Sprache:	eng
Schlagworte:	associated graded rings Bipartite graphs Codes Cohen Macaulay colon ideals Combinatorial analysis Combinatorics depth of powers of bipartite graphs dstab Food science Graphs regular elements on powers of bipartite graphs
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Zusammenfassung:	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.
ISSN:	2227-7390 2227-7390
DOI:	10.3390/math7080762