Akiyama–Watanabe and Albertson–Rhaas conjecture for bipartite planar graphs
Akiyama–Watanabe and Albertson–Rhaas conjecture for bipartite planar graphs
Let be a bipartite planar graph of order . An induced forest of is a vertex-induced subgraph that is acyclic. Akiyama–Watanabe and Albertson–Rhaas conjecture. Every bipartite planar graph of order admits an induced forest of order at least . This conjecture strengthens the general planar-graph bound for the bipartite subclass; the paper records it as an independently proposed open question.
Sources & referencesView supporting material
Primary source
François Dross, Mickael Montassier and Alexandre Pinlou, “Large induced forests in planar graphs with girth 4 or 5”, arXiv:1409.1348 (2014).
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