Conjecture on odd graceful graphs (Q2829337)
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scientific article; zbMATH DE number 6644938
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conjecture on odd graceful graphs |
scientific article; zbMATH DE number 6644938 |
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27 October 2016
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graceful graphs
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odd graceful graphs
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Conjecture on odd graceful graphs (English)
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A graph \(G=(V,E)\) with \(p\) vertices and \(q~\)edges is said to be odd graceful if there exists a mapping \(f:V\rightarrow \{0,\dots,2q-1\}\) such that if we set \(l(e):=\left| f(u)-f(v)\right| \) for an edge \(e=uv\) then \( \bigcup\limits_{e\in E}l(e)=\{1,3,\dots,2q-1\}.\)NEWLINENEWLINEThe authors show that some special classes of bipartite graphs are odd graceful.
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