Induced Forests in Bipartite Planar Graphs

preprint2016arXivOpen access

Abstract

Akiyama and Watanabe conjectured that every simple planar bipartite graph on nn vertices contains an induced forest on at least 5n/85n/8 vertices. We apply the discharging method to show that every simple bipartite planar graph on nn vertices contains an induced forest on at least ⌈(4n+3)/7⌉\lceil (4n+3)/7 \rceil vertices.

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