Equitable vertex arboricity of planar graphs

نویسنده

  • Xin Zhang
چکیده

Let G1 be a planar graph such that all cycles of length at most 4 are independent and let G2 be a planar graph without 3-cycles and adjacent 4-cycles. It is proved that the set of vertices of G1 and G2 can be equitably partitioned into t subsets for every t ≥ 3 so that each subset induces a forest. These results partially confirm a conjecture of Wu, Zhang

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عنوان ژورنال:
  • CoRR

دوره abs/1403.2810  شماره 

صفحات  -

تاریخ انتشار 2014