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On graceful graphs: Union of \(n\) copies of edge deleted subgraphs of \(K_4\) - MaRDI portal

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On graceful graphs: Union of \(n\) copies of edge deleted subgraphs of \(K_4\) (Q1307656)

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scientific article; zbMATH DE number 1359897
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English
On graceful graphs: Union of \(n\) copies of edge deleted subgraphs of \(K_4\)
scientific article; zbMATH DE number 1359897

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    On graceful graphs: Union of \(n\) copies of edge deleted subgraphs of \(K_4\) (English)
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    16 February 2000
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    A graceful numbering of a graph \(G=(V,E)\) with \(m\) edges is an injection \(f\colon V\to \{0,1, \dots, m\}\) such that, when each edge \(\{v,u\}\) is assigned the label \(|f(u) - f(v)|\), the resulting edge labels are distinct. The authors determine when the union of \(n\) copies of \(G\) with one edge in common is graceful, where \(G\) is a certain edge deleted subgraph of \(K_4\).
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    graceful graphs
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    graph labeling
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    graceful numbering
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