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- W4226185612 abstract "We study monomial cut ideals associated to a graph $G$, which are a monomial analogue of toric cut ideals as introduced by Sturmfels and Sullivant. Primary decompositions, projective dimensions, and Castelnuovo-Mumford regularities are investigated if the graph can be decomposed as $0$-clique sums and disjoint union of subgraphs. The total Betti numbers of a cycle are computed. Moreover, we classify all Freiman ideals among monomial cut ideals." @default.
- W4226185612 created "2022-05-05" @default.
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- W4226185612 date "2021-12-08" @default.
- W4226185612 modified "2023-09-28" @default.
- W4226185612 title "Classes of cut ideals and their Betti numbers" @default.
- W4226185612 doi "https://doi.org/10.48550/arxiv.2112.04239" @default.
- W4226185612 hasPublicationYear "2021" @default.
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