Xinsheng Liu
Abstract
A proper edge-coloring is called vertex-distinguishing if every two vertices are incident to edge with vertex.The minimum number of colors is required for a vertex-distinguishing proper edge-coloring.We have given the vertex-distinguishing edge chromatic number of path and fan join-graph.
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A proper edge-coloring is called vertex-distinguishing if every two vertices are incident to edge with vertex.The minimum number of colors is required for a vertex-distinguishing proper edge-coloring.We have given the vertex-distinguishing edge chromatic number of path and fan join-graph.
Key concepts: Combinatorics, Vertex (graph theory), Mathematics, Neighbourhood (mathematics), Chromatic scale, Fractional coloring, Graph, Discrete mathematics