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Open AccessFeature PaperArticle

Syzygies, Betti Numbers, and Regularity of Cover Ideals of Certain Multipartite Graphs

1
Department of Mathematics, Indian Institute of Technology Madras, Chennai 600036, India
2
Department of Mathematics, Indian Institute of Technology Hyderabad, Kandi, Sangareddy 502285, India
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(9), 869; https://doi.org/10.3390/math7090869
Received: 10 August 2019 / Revised: 11 September 2019 / Accepted: 13 September 2019 / Published: 19 September 2019
(This article belongs to the Special Issue Current Trends on Monomial and Binomial Ideals)
Let G be a finite simple graph on n vertices. Let J G K [ x 1 , , x n ] be the cover ideal of G. In this article, we obtain syzygies, Betti numbers, and Castelnuovo–Mumford regularity of J G s for all s 1 for certain classes of graphs G. View Full-Text
Keywords: syzygy; Betti number; Castelnuovo-Mumford regularity; bipartite graph; multipartite graph syzygy; Betti number; Castelnuovo-Mumford regularity; bipartite graph; multipartite graph
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Jayanthan, A.V.; Kumar, N. Syzygies, Betti Numbers, and Regularity of Cover Ideals of Certain Multipartite Graphs. Mathematics 2019, 7, 869.

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