Spanning Directed Trees with Many Leaves

Alon, Noga ; Fomin, Fedor V. ; Gutin, Gregory ; Krivelevich, Michael ; Saurabh, Saket (2009) Spanning Directed Trees with Many Leaves SIAM Journal on Discrete Mathematics, 23 (1). pp. 466-476. ISSN 0895-4801

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Official URL: http://doi.org/10.1137/070710494

Related URL: http://dx.doi.org/10.1137/070710494

Abstract

The Directed Maximum Leaf Out-Branching problem is to find an out-branching (i.e. a rooted oriented spanning tree) in a given digraph with the maximum number of leaves. In this paper, we obtain two combinatorial results on the number of leaves in out-branchings.

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