Betti numbers of toric algebras of certain bipartite graphs

DOI10.1142/S0219498819502311zbMath1441.13056MaRDI QIDQ5206062

Ramakrishna Nanduri, Rimpa Nandi

Publication date: 17 December 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

bipartite graphsHilbert seriesCastelnuovo-Mumford regularityBetti numbersregular sequencetoric algebra

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Paths and cycles (05C38) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)

Related Items (3)

On regularity of Rees algebras of edge ideals of cone graphs ⋮ Splittings of toric ideals ⋮ Properties of the toric rings of a chordal bipartite family of graphs

Cites Work

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• Monomial Algebras
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• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes

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