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
Favacchio G. (2024). Comparability of the total Betti numbers of toric ideals of graphs. JOURNAL OF ALGEBRA AND ITS APPLICATIONS [10.1142/S0219498826500593].
Comparability of the total Betti numbers of toric ideals of graphs
Favacchio G.
2024-11-25
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
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