Neighborhood union conditions for Hamiltonicity of \(P_{3}\)-dominated graphs (Q489317)
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scientific article; zbMATH DE number 6388151
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Neighborhood union conditions for Hamiltonicity of \(P_{3}\)-dominated graphs |
scientific article; zbMATH DE number 6388151 |
Statements
Neighborhood union conditions for Hamiltonicity of \(P_{3}\)-dominated graphs (English)
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20 January 2015
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The Hamiltonicity of 2-connected \(P_3\)-dominated graphs and 3-connected claw-free graphs are presented. Then, an Ore-type condition for Hamiltonicity of claw-free graphs are extended to \(P_3\)-dominated graphs. Using this condition, a neighborhood union condition for Hamiltonicity of \(P_3\)-dominated graphs is obtained.
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\(P_3\)-dominated graph
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quasi-claw-free graph
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neighborhood union
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traceability
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Hamiltonicity
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0.92979604
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0.9250528
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