Generation of graceful trees from arbitrary trees (Q2923325)
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scientific article; zbMATH DE number 6356048
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generation of graceful trees from arbitrary trees |
scientific article; zbMATH DE number 6356048 |
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15 October 2014
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graceful graph
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graceful tree conjecture
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Generation of graceful trees from arbitrary trees (English)
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A graph \(G=(V,E)\) is graceful if there is an injection \(g:V\rightarrow \{1,\dots,\left| E\right| \}\) such that the induced edge labeling \( l(e=uv)=\left| g(u)-g(v)\right| \) is a bijection \(E\rightarrow \{1,\dots,\left| E\right| \}.\) The famous graceful tree conjecture, due to Kotzig, Ringel and Rosa, claims that each tree is graceful. In this paper, an algorithm for constructing graceful trees is provided.
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0.8843249082565308
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0.874950647354126
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