Author

Run-Ze Wang

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Preprint Oct 2026

A note on the injective edge coloring of graphs with bounded maximum degree

Let $G$ be a graph. Under an \emph{injective edge coloring} of $G$, any two edges at distance $2$ or belonging to a common triangle receive distinct colors. The \emph{injective chromatic index} of $G$, denoted by $\chi'_{inj}(G)$, is the smallest integer $k$ such that $G$ admits an injective edge coloring with $k$ colo...

Lin Tian, Run-Ze Wang · 0 citations

Preprint Sep 2026

Strong edge coloring of graphs with maximum degree $6$

Let $G$ be a graph. Under a strong edge coloring of $G$, every color class is an induced matching. The strong chromatic index of $G$, denoted by $\chi'_s(G)$, is the smallest integer $k$ such that $G$ admits a strong edge coloring with $k$ colors. Denote by $\Delta(G)$ the maximum degree of $G$. In this paper, we prove...

Run-Ze Wang · 0 citations

Preprint Sep 2026

A stronger upper bound on the D-chromatic index

For a graph $G$, a proper edge coloring of $G$ is called a D-coloring if every diamond subgraph of $G$ is rainbow. Let $\chi'_D(G)$ be the D-chromatic index of $G$, which is the smallest integer $k$ such that $G$ admits a D-coloring with $k$ colors. Let $\Delta$ be the maximum degree of $G$. The only known Brooks-type...

Lin Tian, Run-Ze Wang · 0 citations