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Comparability of the total Betti numbers of toric ideals of graphs

Published 27 Apr 2024 in math.AC | (2404.17836v1)

Abstract: 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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