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ICALP
2007
Springer

Parameterized Algorithms for Directed Maximum Leaf Problems

8 years 10 months ago
Parameterized Algorithms for Directed Maximum Leaf Problems
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 graph is a fixed parameter tractable problem. A similar result holds for finding rooted spanning trees with many leaves in strongly connected directed graphs. This settles completely an open question of Fellows and solves another one for strongly connected directed graphs. Our algorithms are based on the following combinatorial result which can be viewed as a generalization of many results for a ‘spanning tree with many leaves’ in the undirected case, and which is interesting on its own: Every strongly connected digraph on n vertices with minimum in-degree at least 3, contains a rooted spanning tree with at least (n/2)1/5 leaves.
Noga Alon, Fedor V. Fomin, Gregory Gutin, Michael
Added 08 Jun 2010
Updated 08 Jun 2010
Type Conference
Year 2007
Where ICALP
Authors Noga Alon, Fedor V. Fomin, Gregory Gutin, Michael Krivelevich, Saket Saurabh
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