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

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

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.

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Veröffentlicht in:Mathematics (Basel) 2019-09, Vol.7 (9), p.869
Hauptverfasser: Jayanthan, A. V., Kumar, Neeraj
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Apexes
Betti number
bipartite graph
Castelnuovo-Mumford regularity
Codes
Graph theory
Graphs
Mathematics
multipartite graph
Regularity
syzygy
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Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7090869