Lukasz Kowalik ; Borut Luzar ; Riste Skrekovski - 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 - https://doi.org/10.46298/dmtcs.487
An improved bound on the largest induced forests for triangle-free planar graphsArticle

Authors: Lukasz Kowalik 1; Borut Luzar 2; Riste Skrekovski 2

  • 1 Institute of Informatics [Warsaw]
  • 2 Faculty of Mathematics and Physics [Ljubljana]


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.

https://doi.org/10.46298/dmtcs.487
Source: HAL:hal-00990440v1
Volume: Vol. 12 no. 1
Published on: January 1, 2010
Imported on: March 26, 2015
Keywords: [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [en] Induced forest, Forest number, Decycling number

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