Recognizing the \(P_ 4\)-structures of a tree (Q1343225)
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scientific article; zbMATH DE number 716414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Recognizing the \(P_ 4\)-structures of a tree |
scientific article; zbMATH DE number 716414 |
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Recognizing the \(P_ 4\)-structures of a tree (English)
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1 February 1995
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The \(P_ 4\)-structure of a graph \(G\) is the hypergraph having the same set of vertices as \(G\) and those 4-sets as hyperedges whose induced subgraph of \(G\) is a path. The paper presents a polynomial time algorithm detecting whether a given 4-uniform hypergraph is the \(P_ 4\)-structure of a tree, which is given in that case, or not. Non-isomorphic trees of the same order have the same \(P_ 4\)-struture iff both belong to a class of trees described in the paper.
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\(P_ 4\)-structure
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hypergraph
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polynomial time algorithm
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tree
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0.9165189
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0.8933901
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0.8913335
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0.8816894
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0.8797029
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0.8705272
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