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- W1968430164 abstract "A graph is clique-Helly if any family of mutually intersecting (maximal) cliques has non-empty intersection, and it is hereditary clique-Helly (HCH) if its induced subgraphs are clique-Helly. The clique graph of a graph G is the intersection graph of its cliques, and G is self-clique if it is connected and isomorphic to its clique graph. We show that every HCH graph is an induced subgraph of a self-clique HCH graph, and give a characterization of self-clique HCH graphs in terms of their constructibility starting from certain digraphs with some forbidden subdigraphs. We also specialize this results to involutive HCH graphs, i.e. self-clique HCH graphs whose vertex-clique bipartite graph admits a part-switching involution." @default.
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- W1968430164 date "2008-04-01" @default.
- W1968430164 modified "2023-09-30" @default.
- W1968430164 title "On hereditary clique-Helly self-clique graphs" @default.
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- W1968430164 doi "https://doi.org/10.1016/j.dam.2007.05.057" @default.
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