|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|4646565||1413648||2017||8 صفحه PDF||سفارش دهید||دانلود کنید|
The Turán number of a graph HH, denoted by ex(n,H)ex(n,H), is the maximum number of edges in a simple graph of order nn which does not contain HH as a subgraph. In this paper, we determine the value ex(n,k⋅P3) and characterize all extremal graphs for all positive integers nn and kk, where k⋅P3 is kk disjoint copies of a path on three vertices. This extends a result of Bushaw and Kettle (2011), which solved the conjecture proposed by Gorgol (2011).
Journal: Discrete Mathematics - Volume 340, Issue 2, 6 February 2017, Pages 132–139