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Comparing invariants of toric ideals of bipartite...
Journal article

Comparing invariants of toric ideals of bipartite graphs

Abstract

Let G G be a finite simple graph and let I G I_G denote its associated toric ideal in the polynomial ring R R . For each integer n 2 n\geq 2 , we completely determine all the possible values for the tuple ( reg ( R / I G ) , deg ( h R / I G ( t ) ) , pdim ( R / I G ) , depth ( R / I G ) , dim ( R / I G ) ) (\operatorname {reg}(R/I_G), \deg (h_{R/I_G}(t)), \operatorname {pdim}(R/I_G), \operatorname {depth}(R/I_G), \dim (R/I_G)) when G G is a connected bipartite graph on n n vertices.

Authors

Bhaskara K; Van Tuyl A

Journal

Proceedings of the American Mathematical Society Series B, Vol. 10, No. 19, pp. 219–232

Publisher

American Mathematical Society (AMS)

Publication Date

January 1, 2023

DOI

10.1090/bproc/174

ISSN

2330-1511

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