Kowalik, Lukasz and Luzar, Borut and Skrekovski, Riste - An improved bound on the largest induced forests for triangle-free planar graphs

dmtcs:487 - Discrete Mathematics & Theoretical Computer Science, January 1, 2010, Vol. 12 no. 1
An improved bound on the largest induced forests for triangle-free planar graphs

Authors: Kowalik, Lukasz and Luzar, Borut and Skrekovski, Riste

We proved that every planar triangle-free graph of order n has a subset of vertices that induces a forest of size at least (71n + 72)/128. This improves the earlier work of Salavatipour (2006). We also pose some questions regarding planar graphs of higher girth.


Source : oai:HAL:hal-00990440v1
Volume: Vol. 12 no. 1
Published on: January 1, 2010
Submitted on: March 26, 2015
Keywords: Induced forest,Forest number,Decycling number,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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