Decompositions of quadrangle-free planar graphs

نویسندگان

  • Oleg V. Borodin
  • Anna O. Ivanova
  • Alexandr V. Kostochka
  • Naeem N. Sheikh
چکیده

W. He et al. showed that a planar graph not containing 4-cycles can be decomposed into a forest and a graph with maximum degree at most 7. This degree restriction was improved to 6 by Borodin et al. We further lower this bound to 5 and show that it cannot be improved to 3.

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عنوان ژورنال:
  • Discussiones Mathematicae Graph Theory

دوره 29  شماره 

صفحات  -

تاریخ انتشار 2009