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Oct 2026

Ramsey Number of A Union of Stars Versus A Book

The Ramsey number [Formula: see text] is the minimum integer [Formula: see text] such that any red-blue-coloring of [Formula: see text] contains either a red copy of [Formula: see text] or a blue copy of [Formula: see text]. In 2017, Zhang et al. showed that if [Formula: see text] and [Formula: see text], then [Formula...

Man-Man Yin, Yu-Fan Yuan, Jia-Hui Cao et al. · 0 citations
Preprint Sep 2026

The game chromatic number of generalized Mycielski graphs of paths and cycles

The graph coloring game is a two-player game in which the players alternately color an uncolored vertex of a graph $G$. The game chromatic number is the minimum number of colors needed for the first player to guarantee a win. We investigate this parameter for generalized Mycielski graphs $M_k(G)$, where $G$ is a path $...

Yushuang Mou, Qiang Sun, Chao Zhang · 0 citations

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