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Hamiltonicity of 2-connected claw-center independent graphs - MaRDI portal

Hamiltonicity of 2-connected claw-center independent graphs (Q1356769)

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scientific article; zbMATH DE number 1019116
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English
Hamiltonicity of 2-connected claw-center independent graphs
scientific article; zbMATH DE number 1019116

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    Hamiltonicity of 2-connected claw-center independent graphs (English)
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    20 August 1997
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    Let \(G\) be a 2-connected graph of order \(n\) (\( n \geq 13\)) and \(n \leq 2 \delta_2 -3\), where \(\delta_2 = \min \{ d(u) + d(v) : uv \notin E(G) \}\). If the set of claw-centers of the graph \(G\) is an independent set, then the graph \(G\) contains a Hamilton circuit except for three families of counterexamples.
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    Hamilton circuit
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    claw-center
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