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9-connected claw-free graphs are Hamilton-connected - MaRDI portal

9-connected claw-free graphs are Hamilton-connected (Q1305527)

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scientific article; zbMATH DE number 1346891
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English
9-connected claw-free graphs are Hamilton-connected
scientific article; zbMATH DE number 1346891

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    9-connected claw-free graphs are Hamilton-connected (English)
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    27 February 2000
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    A graph \(G\) is claw-free if no induced subgraph of \(G\) is isomorphic to \(K_{1,3}\). Further, a graph is Hamilton-connected if any pair of its vertices is joined by a Hamiltonian path. The author shows that every 9-connected claw-free graph is Hamilton-connected.
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    Hamilton-connected
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    claw-free
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