Abstract. A face of an edge colored plane graph is called rainbow if all its edges receive distinct colors. The maximum number of colors used in an edge ...
Apr 13, 2009 · A face of an edge-colored plane graph is called rainbow if the number of colors used on its edges is equal to its size.
Abstract: A face of an edge colored plane graph is called {\em rainbow} if all its edges receive distinct colors. The maximum number of colors used in an ...
A vertex-colored graph $G$ is rainbow vertex-connected if two vertices are connected by a path whose internal vertices have distinct colors. The rainbow vertex- ...
The number rb(G,H)rb(G,H) is called the rainbow number of HHwith respect to GG. If GG is a complete graph KnKn, the numbers f(Kn,H)f(Kn,H) and rb(Kn,H)rb(Kn,H) ...
Jul 11, 2024 · Li proved that \delta^c(G) > n/2 guarantees a rainbow triangle in G. We give extensions of Li's result to cliques K_r for r \ge 4.
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Aug 5, 2024 · An edge coloring of a graph is proper if incident edges of must receive different colors. Recently two of the authors studied proper edge ...
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Jul 1, 2018 · An edge-coloring of a loopless plane graph G is a facial rainbow edge-coloring if any two edges of G contained in the same facial path have distinct colors.
Jun 23, 2023 · The strong rainbow number of the graph H in G is the minimum number of colors k such that every graph G ∈ G admits an edge coloring with at most ...