Generating All Maximal Induced Subgraphs for Hereditary, Connected-Hereditary and Rooted-Hereditary Properties

dc.creatorCohen, Sara
dc.creatorSagiv, Yehoshua
dc.date2004-10-17
dc.date.accessioned2026-07-07T03:21:52Z
dc.date.available2026-07-07T03:21:52Z
dc.descriptionThe problem of computing all maximal induced subgraphs of a graph G that have a graph property P, also called the maximal P-subgraphs problem, is considered. This problem is studied for hereditary, connected-hereditary and rooted-hereditary graph properties. The maximal P-subgraphs problem is reduced to restricted versions of this problem by providing algorithms that solve the general problem, assuming that an algorithm for a restricted version is given. The complexity of the algorithms are analyzed in terms of total polynomial time, incremental polynomial time and the complexity class P-enumerable. The general results presented allow simple proofs that the maximal P-subgraphs problem can be solved efficiently (in terms of the input and output) for many different properties.
dc.identifierhttps://arxiv.org/abs/cs/0410039
dc.identifierhttp://arxiv.org/abs/cs/0410039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/32375
dc.subjectData Structures and Algorithms
dc.subjectDiscrete Mathematics
dc.subjectG.2.2; F.2; F.1.3
dc.titleGenerating All Maximal Induced Subgraphs for Hereditary, Connected-Hereditary and Rooted-Hereditary Properties
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