Abstract
Two graphs G and H with the same vertex set V are P 4- isomorphic if there exists a permutation π on V such that, for all subsets S⊆V, S induces a chordless path on four vertices (denoted by P 4) in G if and only if π( S) induces a P 4 in H. This paper gives a classification of all graphs P 4-isomorphic to a tree, respectively, a forest.
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