Tractabilities and intractabilities on geometric intersection graphs (Q1736543)

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scientific article; zbMATH DE number 7042151
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Tractabilities and intractabilities on geometric intersection graphs
scientific article; zbMATH DE number 7042151

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    Tractabilities and intractabilities on geometric intersection graphs (English)
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    26 March 2019
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    Summary: A graph is said to be an intersection graph if there is a set of objects such that each vertex corresponds to an object and two vertices are adjacent if and only if the corresponding objects have a nonempty intersection. There are several natural graph classes that have geometric intersection representations. The geometric representations sometimes help to prove tractability/intractability of problems on graph classes. In this paper, we show some results proved by using geometric representations.
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    bandwidth
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    chain graphs
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    graph isomorphism
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    Hamiltonian path problem
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    interval graphs
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    threshold graphs
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    unit grid intersection graphs
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