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arXiv · 1812.05295

Bipartite graphs and monochromatic squares

Shimon Garti
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Abstract

We prove that consistently every bipartite graph of size $κ^+\timesκ^+$ contains either a clique or an independent subset of size $τ\timesτ$ for every $τ\inκ^+$, where $κ$ is a successor cardinal.

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Shimon Garti. 2018-12-13. Bipartite graphs and monochromatic squares. https://doi.org/10.1007/s11083-018-9457-4

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