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The strong chromatic index of (3,Delta)-bipartite graphs
classification
🧮 math.CO
keywords
bipartitedeltagraphsstrongdegreeedge-coloringgraphhaving
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A strong edge-coloring of a graph $G=(V,E)$ is a partition of its edge set $E$ into induced matchings. We study bipartite graphs with one part having maximum degree at most $3$ and the other part having maximum degree $\Delta$. We show that every such graph has a strong edge-coloring using at most $3 \Delta$ colors. Our result confirms a conjecture of Brualdi and Quinn Massey ~\cite{[BQ]} for this class of bipartite graphs.
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