Complexity of tree homomorphisms (Q1923593)

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scientific article; zbMATH DE number 933107
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Complexity of tree homomorphisms
scientific article; zbMATH DE number 933107

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    Complexity of tree homomorphisms (English)
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    18 August 1997
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    Let \(T\) be an oriented tree and consider the complexity of deciding whether or not a given digraph is homomorphic to \(T\). A class of simple trees with NP-complete homomorphism problems is identified, the smallest tree having 45 vertices. A list of all subtrees that are necessary in order to get NP-complete homomorphism problems for a tree is presented.
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    digraph
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    homomorphism problems
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    tree
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