Bipartite Ramsey numbers of Kt,s in many colors

Ye Wang, Yusheng Li and Yan Li

Applied Mathematics and Computation, 2021, vol. 404, issue C

Abstract: For any bipartite graph B, the bipartite Ramsey number brk(B) is defined to be the smallest integer N such that any edge-coloring of complete bipartite graph KN,N by k colors contains a monochromatic B. In this note, it is shown that brk(K2,s)∼(s−1)k2 for fixed s≥2 and brk(K3,3)∼k3 as k→∞.

Keywords: Bipartite Ramsey number; Zarankiewicz number; Asymptotic formula (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:404:y:2021:i:c:s0096300321003106

DOI: 10.1016/j.amc.2021.126220

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