Graceful labelling of the union of paths and cycles (Q1304813)
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scientific article; zbMATH DE number 1340368
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Graceful labelling of the union of paths and cycles |
scientific article; zbMATH DE number 1340368 |
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Graceful labelling of the union of paths and cycles (English)
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10 April 2000
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The authors show that \(C_5\cup P_n\) is graceful and \(C_s\cup P_n\) is graceful for every \(s\geq 5\) when \(n\geq (s+ 5)/2\). This result is another step towards settling the conjecture that \(C_s\cup P_n\) is graceful whenever \(n+ s\geq 7\).
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path
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cycle
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graceful labelling
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