A rainbow path in an edge coloring of graph is a path in which every two edges are assigned different colors. If a nontrivial connected graph contains a rainbow path for every two vertices in , then is rainbow-connected. The rainbow connection number of is the minimum integer such that is rainbow connnected in an edge-coloring with colors. If a nontrivial connected contains a rainbow path geodesic for every two vertices in , then is strongly rainbow-connected. The strong rainbow connection number of is the minimum integer such that is strongly rainbow-connected in an edge coloring with colors. The rainbow connection and strong rainbow connection number of graph , , and have been found. In this paper, the results will be gen...
The concept of rainbow connection was introduced by Chartrand, Johns, McKeon and Zhang in 2008. Nowa...
Let G be a graph with an edge k-coloring γ : E(G) → {1, …, k} (not necessarily proper). A path is ca...
The minimum number of colors required to color the edges of a graph so that any two distinct vertice...
summary:Let $G$ be a nontrivial connected graph on which is defined a coloring $c\: E(G) \rightarrow...
summary:Let $G$ be a nontrivial connected graph on which is defined a coloring $c\: E(G) \rightarrow...
A path in an edge-colored graph G is called a rainbow path if no two edges on the path have the same...
summary:Let $G$ be a nontrivial connected graph on which is defined a coloring $c\: E(G) \rightarrow...
A path in an edge-colored graph G is rainbow if no two edges of it are colored the same. The graph G...
A path in an edge colored graph is said to be a rainbow path if no two edges on the path have the sa...
A path in an edge colored graph is said to be a rainbow path if no two edges on the path have the sa...
A path in an edge-coloured graph is called a rainbow path if its edges receive pairwise distinct col...
AbstractA rainbow edge coloring of a connected graph is a coloring of the edges of the graph, such t...
Let G be an arbitrary non-trivial connected graph. An edge-colored graph G is called a rainbow conne...
A path in an edge-colored graph G is rainbow if no two edges of it are colored the same. The graph G...
AbstractAn edge colored graph G = (V(G), E(G)) is said rainbow connected, if any two vertices are co...
The concept of rainbow connection was introduced by Chartrand, Johns, McKeon and Zhang in 2008. Nowa...
Let G be a graph with an edge k-coloring γ : E(G) → {1, …, k} (not necessarily proper). A path is ca...
The minimum number of colors required to color the edges of a graph so that any two distinct vertice...
summary:Let $G$ be a nontrivial connected graph on which is defined a coloring $c\: E(G) \rightarrow...
summary:Let $G$ be a nontrivial connected graph on which is defined a coloring $c\: E(G) \rightarrow...
A path in an edge-colored graph G is called a rainbow path if no two edges on the path have the same...
summary:Let $G$ be a nontrivial connected graph on which is defined a coloring $c\: E(G) \rightarrow...
A path in an edge-colored graph G is rainbow if no two edges of it are colored the same. The graph G...
A path in an edge colored graph is said to be a rainbow path if no two edges on the path have the sa...
A path in an edge colored graph is said to be a rainbow path if no two edges on the path have the sa...
A path in an edge-coloured graph is called a rainbow path if its edges receive pairwise distinct col...
AbstractA rainbow edge coloring of a connected graph is a coloring of the edges of the graph, such t...
Let G be an arbitrary non-trivial connected graph. An edge-colored graph G is called a rainbow conne...
A path in an edge-colored graph G is rainbow if no two edges of it are colored the same. The graph G...
AbstractAn edge colored graph G = (V(G), E(G)) is said rainbow connected, if any two vertices are co...
The concept of rainbow connection was introduced by Chartrand, Johns, McKeon and Zhang in 2008. Nowa...
Let G be a graph with an edge k-coloring γ : E(G) → {1, …, k} (not necessarily proper). A path is ca...
The minimum number of colors required to color the edges of a graph so that any two distinct vertice...