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تسجيل مستخدم جديدOptimal Adjacent Vertex-Distinguishing Edge-Colorings of Circulant Graphs
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نشر من قبل
Hippolyte Signargout
تاريخ النشر
2020
مجال البحث
الهندسة المعلوماتية
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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 $C_n([1, R])$.
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