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- W1598698067 abstract "The notion of graph acyclicity has been extended to several notions of hypergraph acyclicity. In increasing order of generality: gamma acyclicity, beta acyclicity, and alpha acyclicity have met a great interest in many fields. For each notion, we prove the equivalence between the numerous characterizations with a new, simpler proof, in a self-contained manner. For that purpose, we introduce new notions of alpha, beta, and gamma leaf that allow one to define new “rule-based” characterizations of each notion. The combined presentation of the notions is completed with a study of their respective closure properties. New closure results are established, and alpha, beta, and gamma acyclicity are proved optimal w.r.t. their closure properties." @default.
- W1598698067 created "2016-06-24" @default.
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- W1598698067 date "2016-12-13" @default.
- W1598698067 modified "2023-09-26" @default.
- W1598698067 title "Hypergraph Acyclicity Revisited" @default.
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- W1598698067 doi "https://doi.org/10.1145/2983573" @default.
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