Star Edge Colorings of the Gear Graph
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Graphical Abstract
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Abstract
The star edge coloring of a graph a proper edge coloring such that the induced subgraph induced by any two colors is a path length of which docs not exceed 3.In the report, the contradiction method and the combination analysis method were used to discuss the star edge coloring of a graph, and the specific star edge chromatic number of the gear graph was obtained by constructing specific coloring.
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