Geodesic
The Turán Number of the Graph 2P5
Discussiones Mathematicae. Graph Theory, Tome 36 (2016) no. 3, pp. 683-694

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We give the Turán number ex (n, 2P5) for all positive integers n, improving one of the results of Bushaw and Kettle [Turán numbers of multiple paths and equibipartite forests, Combininatorics, Probability and Computing, 20 (2011) 837-853]. In particular we prove that ex (n, 2P5) = 3n−5 for n ≥ 18.
Keywords: forest, tree, Turán number 
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Bielak, Halina; Kieliszek, Sebastian. The Turán Number of the Graph 2P5. Discussiones Mathematicae. Graph Theory, Tome 36 (2016) no. 3, pp. 683-694. http://geodesic.mathdoc.fr/item/DMGT_2016_36_3_a12/