Some homological properties of edge rings of diamond snake graphs

Pavinder Singh (), Richa Vats () and Rohit Verma ()
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Pavinder Singh: Central University of Jammu, Rahya-Suchani(Bagla)
Richa Vats: Central University of Jammu, Rahya-Suchani(Bagla)
Rohit Verma: Central University of Jammu, Rahya-Suchani(Bagla)

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 1, 285-294

Abstract: Abstract In this paper, we study some homological properties of edge rings of a class of bipartite graphs, known as diamond snake graphs. We obtain combinatorial formulae for Castelnuovo-Mumford regularity, projective dimension and $${\mathbb {N}}-$$ N - graded Betti numbers in the linear strand of edge rings of these graphs.

Keywords: Diamond snake graphs; Edge ideals; Regularity; Projective dimension; Linear strand; 13D02; 13F55; 05C69; 05C99 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-023-00479-y

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