Spanning k-Forests with Large Components in K1, k+1-Free Graphs

نویسندگان

  • Kenta Ozeki
  • Takeshi Sugiyama
چکیده

For an integer k with k ≥ 2, a k-tree (resp. a k-forest) is a tree (resp. forest) with maximum degree at most k. In this paper, we show that for any integer k with k ≥ 3, any connected K1,k+1-free graph has a spanning k-tree or a spanning k-forest with only large components.

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عنوان ژورنال:
  • Graphs and Combinatorics

دوره 31  شماره 

صفحات  -

تاریخ انتشار 2015