Rimpa Nandi, Ramakrishna Nanduri
Abstract
In this paper, we compute the graded Betti numbers of toric algebras of certain bipartite graphs [Formula: see text]. Also, the Castelnuovo–Mumford regularity, Hilbert series and multiplicity of [Formula: see text] are explicitly determined.
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In this paper, we compute the graded Betti numbers of toric algebras of certain bipartite graphs [Formula: see text]. Also, the Castelnuovo–Mumford regularity, Hilbert series and multiplicity of [Formula: see text] are explicitly determined.
Key concepts: Mathematics, Betti number, Bipartite graph, Multiplicity (mathematics), Hilbert–Poincaré series, Combinatorics, Pure mathematics, Graph