Albertson and Berman's induced forest conjecture for planar graphs
Let be a planar graph of order . An induced forest of is a vertex-induced subgraph that is acyclic. Albertson and Berman's conjecture. Every planar graph of order admits an induced forest of order at least . This conjecture seeks the optimal general lower bound for the forest number of planar graphs; the paper presents it as a challenging conjecture and does not state a resolution.
References
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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