Blocks of hypergraphs: applied to hypergraphs and outerplanarity

作者: Ulrik Brandes , Sabine Cornelsen , Barbara Pampel , Arnaud Sallaberry

DOI: 10.1007/978-3-642-19222-7_21

关键词: GraphDiscrete mathematicsMathematicsTime complexityVertex connectivityHypergraphBipartite graphHasse diagramCombinatoricsVertex (graph theory)

摘要: A support of a hypergraph H is graph with the same vertex set as in which each hyperedge induces connected subgraph. We show how to test polynomial time whether given has cactus support, i.e. that tree edges and cycles. While it NP-complete decide 2-outerplanar we closed under intersections differences an outerplanar or planar support. In all cases our algorithms yield construction required if exists. The are based on new definition biconnected components hypergraphs.

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