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GIUSEPPE FAVACCHIO

Comparability of the total Betti numbers of toric ideals of graphs

Abstract

The total Betti numbers of the toric ideal of a simple graph are, in general, highlysensitive 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