Comparability of the total Betti numbers of toric ideals of graphs

Bibliographic Details
Title: Comparability of the total Betti numbers of toric ideals of graphs
Authors: Favacchio, Giuseppe
Publication Year: 2024
Collection: Mathematics
Subject Terms: Mathematics - Commutative Algebra, 13D02, 13P10, 13D40, 14M25, 05E40
More Details: The total Betti numbers of the toric ideal of a simple graph are, in general, highly sensitive to any small change of the graph. In this paper we look at some combinatorial operations that cause total Betti numbers to change in predictable ways. In particular, we focus on a procedure that preserves these invariants.
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2404.17836
Accession Number: edsarx.2404.17836
Database: arXiv
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