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A fast algorithm for finding an edge-maximal subgraph with a TR-formative coloring - MaRDI portal

A fast algorithm for finding an edge-maximal subgraph with a TR-formative coloring (Q1095923)

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scientific article; zbMATH DE number 4029609
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English
A fast algorithm for finding an edge-maximal subgraph with a TR-formative coloring
scientific article; zbMATH DE number 4029609

    Statements

    A fast algorithm for finding an edge-maximal subgraph with a TR-formative coloring (English)
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    1986
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    The author gives an O(\(\Delta| E|)\) algorithm (\(\Delta\) denotes the maximum degree) for the construction of edge maximal subgraph G' of a given graph G with the property that there exists an edge 2-coloring of G' such that one color induces a triangulated subgraph of G' while the complementary color induces a subgraph of G' without triangles. These researches have applications in maximum clique finding enumerative algorithms.
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    triangulated graph
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    algorithm
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    edge maximal subgraph
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    edge 2-coloring
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    maximum clique
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