On the Turán Number of Forests

نویسندگان

  • Hong Liu
  • Bernard Lidický
  • Cory Palmer
چکیده

The Turán number of a graph H, ex(n,H), is the maximum number of edges in a graph on n vertices which does not have H as a subgraph. We determine the Turán number and find the unique extremal graph for forests consisting of paths when n is sufficiently large. This generalizes a result of Bushaw and Kettle [Combinatorics, Probability and Computing 20:837–853, 2011]. We also determine the Turán number and extremal graphs for forests consisting of stars of arbitrary order.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2013