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arXiv · 2608.25081

Bounded diameter covering of 2-colored complete bipartite graphs

Louis DeBiasio·András Gyárfás·Gábor N. Sárközy
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Abstract

Related to a bounded-diameter bipartite analogue of the Henderson--Ryser conjecture, DeBiasio, Kamel, McCourt, and Sheats proved that the vertices of every $2$-colored complete bipartite graph can be covered by two monochromatic subgraphs, each of diameter at most four. We improve this bound on the diameter to the best possible value of {\em three}.

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Louis DeBiasio, András Gyárfás, Gábor N. Sárközy. 2026-08-25. Bounded diameter covering of 2-colored complete bipartite graphs. https://arxiv.org/abs/2608.25081

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