An improved bound on the largest induced forests for triangle-free planar graphs
Lukasz Kowalik, Borut Lužar, Riste Škrekovski
Abstract
We proved that every planar triangle-free graph with n vertices has a subset of vertices that induces a forest of size at least (71n + 72)/128. This improves the earlier work of Salavatipour [10]. We also pose some questions regarding planar graphs of higher girth.
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