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A Λ-factor of a graph G is a spanning subgraph of G whose every component is a 3-vertex path. Let v(G) be the number of vertices of G and γ(G) the domination number of G. A claw is a graph with four vertices and three edges incident to the same vertex. A graph is claw-free if it does not have an induced subgraph isomorphic to a claw. Our results include the following. Let G be a 3-connected claw-free...
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