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

A. V. Jayanthan and Neeraj Kumar
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A. V. Jayanthan: Department of Mathematics, Indian Institute of Technology Madras, Chennai 600036, India
Neeraj Kumar: Department of Mathematics, Indian Institute of Technology Hyderabad, Kandi, Sangareddy 502285, India

Mathematics, 2019, vol. 7, issue 9, 1-18

Abstract: 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 .

Keywords: syzygy; Betti number; Castelnuovo-Mumford regularity; bipartite graph; multipartite graph (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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