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- W2977429056 abstract "Abstract We consider the sandwich problem, a generalization of the recognition problem introduced by Golumbic and Shamir (1993), with respect to classes of graphs defined by excluding induced subgraphs. The Π graph sandwich problem asks, for a pair of graphs G1 = (V, E1) and G2 = (V, E2) with E1 ⊆ E2, whether there exists a graph G = (V, E) with E1 ⊆ E ⊆ E2 that satisfies property Π. We consider the property of being H-free, where H is a fixed graph. Using a new variant of the SAT problem, we present a general framework to establish the NP-completeness of the sandwich problem for several H-free graph classes which generalizes the previous strategy for the class of Hereditary clique-Helly graphs. We also provide infinite families of 3-connected special forbidden induced subgraphs for which each forbidden induced subgraph sandwich problem is NP-complete." @default.
- W2977429056 created "2019-10-10" @default.
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- W2977429056 date "2019-08-01" @default.
- W2977429056 modified "2023-09-23" @default.
- W2977429056 title "A General Method for Forbidden Induced Subgraph Sandwich Problem NP-completeness" @default.
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- W2977429056 doi "https://doi.org/10.1016/j.entcs.2019.08.035" @default.
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