Author

Guantao Chen

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Preprint Sep 2026

Cayley Tournaments Simultaneously Critical for the Clique and Dichromatic Numbers

For a tournament $T$, let $\omega(T)$ be the minimum clique number among the backedge graphs of $T$, and let $\chi(T)$ be its dichromatic number. We give a template-lifting construction. It turns a $k$-template into a regular, vertex-transitive Cayley tournament that is simultaneously $(k+1)$-$\omega$-critical and $(k+...

Guan-Tao Chen, Sheng-Ze Wang · 0 citations

Preprint Aug 2026

Odd-Girth Bounds for Defective Edge Coloring

A $(k,d)$-edge coloring of a loopless multigraph $G$ is an edge coloring using at most $k$ colors such that the subgraph formed by each color class has maximum degree at most $d$. The least such $k$ is denoted by $\chi'_d(G)$. Let $G$ be a loopless non-bipartite multigraph with maximum degree $\Delta(G)$ and odd girth...

Guan-Tao Chen, Alireza Fiujlaali · 0 citations