April 27, 2024Open Access

Comparability of the total Betti numbers of toric ideals of graphs

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Resumen

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.

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Cite This Study

Giuseppe Favacchio (Sat,) studied this question.

synapsesocial.com/papers/68e6d578b6db643587652648 https://doi.org/https://doi.org/10.48550/arxiv.2404.17836

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3Betti splittings and multigraded Betti numbers of cover ideals of bipartite graphs2024
4Link Bundles of Compact Toric Varieties of Real Dimension 82025
5Betti numbers for the edge ideals of chain graphs and cozero divisor graphs2026

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