Optimal Adjacent Vertex-Distinguishing Edge-Colorings of Circulant Graphs
Autor: | Gravier, Sylvain, Signargout, Hippolyte, Slimani, Souad |
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Rok vydání: | 2020 |
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Druh dokumentu: | Working Paper |
Popis: | A $k$-proper edge-coloring of a graph G is called adjacent vertex-distinguishing if any two adjacent vertices are distinguished by the set of colors appearing in the edges incident to each vertex. The smallest value $k$ for which $G$ admits such coloring is denoted by $\chi'_a(G)$. We prove that $\chi'_a(G) = 2R + 1$ for most circulant graphs $C_n([1, R])$. Comment: Editor-neutral version |
Databáze: | arXiv |
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