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Intersection graphs of Helly families of subtrees - MaRDI portal

Intersection graphs of Helly families of subtrees (Q1917300)

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scientific article; zbMATH DE number 897402
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English
Intersection graphs of Helly families of subtrees
scientific article; zbMATH DE number 897402

    Statements

    Intersection graphs of Helly families of subtrees (English)
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    7 July 1996
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    A Helly family of a graph \(H\) is a family of subtrees of \(H\) such that every subfamily of mutually intersecting subtrees has a nonempty intersection. The author shows that every graph is an intersection graph of a Helly family of subtrees of a graph without triangles.
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    Helly family
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    subtrees
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    intersection graph
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