Analysis establishes chromatic number of various fuzzy graphs related to fuzzy paths, indicating new properties.
In this paper, the chromatic number of the fuzzy middle graph, fuzzy splitting graph, fuzzy shadow graph, fuzzy line graph, total fuzzy graph, and the fuzzy subdivision graph of the fuzzy path is determined by using fuzzy colors based on the strength of an edge incident on a vertex. Several important properties related to the fuzzy coloring of these graphs are established. Furthermore, an application of fuzzy coloring of fuzzy shadow graph of fuzzy path is given.
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Karunambigai et al. (2025) studied this question.
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