We present an algorithm that for any graph G and integer k ≥ 0 in time polynomial in the size of G either nds a spanning tree with at least k internal vertices, or outputs a ne...
Fedor V. Fomin, Serge Gaspers, Saket Saurabh, St&e...
Abstract. We give an fpt approximation algorithm for the directed vertex disjoint cycle problem. Given a directed graph G with n vertices and a positive integer k, the algorithm co...
Given a graph with a source and a sink node, the NP–hard maximum k–splittable flow (MkSF) problem is to find a flow of maximum value with a flow decomposition using at most...
d Abstract) Noga Alon∗ Fedor V. Fomin† Gregory Gutin‡ Michael Krivelevich§ Saket Saurabh¶ We prove that finding a rooted subtree with at least k leaves in a directed grap...
Noga Alon, Fedor V. Fomin, Gregory Gutin, Michael ...
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 pa...
Noga Alon, Fedor V. Fomin, Gregory Gutin, Michael ...