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- W2989089644 abstract "A star edge coloring of a graph $G$ is a proper edge coloring of $G$ such that no path or cycle of length four is bi-colored. The star chromatic index of $G$, denoted by $chi^{prime}_{s}(G)$, is the minimum $k$ such that $G$ admits a star edge coloring with $k$ colors. Bezegov{a} et al. (Star edge coloring of some classes of graphs, J. Graph Theory, 81(1), pp.73-82. 2016) conjectured that the star chromatic index of outerplanar graphs with maximum degree $Delta$, is at most $leftlfloorfrac{3Delta}{2}rightrfloor+1$. In this paper, we prove this conjecture for a class of outerplanar graphs, namely Cactus graphs, wherein every edge belongs to at most one cycle." @default.
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- W2989089644 date "2019-11-06" @default.
- W2989089644 modified "2023-09-27" @default.
- W2989089644 title "Star edge coloring of Cactus graphs" @default.
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