Albertson and Berman's induced forest conjecture for planar graphs

Let GG be a planar graph of order nn. An induced forest of GG is a vertex-induced subgraph that is acyclic. Albertson and Berman's conjecture. Every planar graph of order nn admits an induced forest of order at least n2\frac{n}{2}. 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.

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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