Biholes in balanced bipartite graphs

Published 7 Apr 2020 in math.CO | (2004.03245v2)

Abstract: A bihole in a bipartite graph $G$ with partite sets $A$ and $B$ is an independent set $I$ in $G$ with $|I\cap A|=|I\cap B|$. We prove lower bounds on the largest order of biholes in balanced bipartite graphs subject to conditions involving the vertex degrees and the average degree.

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