An exact exponential-time algorithm for the Directed Maximum Leaf Spanning Tree problem

Given a directed graph G=(V,A), the Directed Maximum Leaf Spanning Tree problem asks to compute a directed spanning tree with as many leaves as possible. By designing a branching algorithm analyzed with Measure&Conquer, we show that the problem can be solved in time O⁎(1.9044n) using polynomial...

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Bibliographic Details
Published in:	Journal of discrete algorithms (Amsterdam, Netherlands) Vol. 15; pp. 43 - 55
Main Authors:	Binkele-Raible, Daniel, Fernau, Henning
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.08.2012
Subjects:	Exact exponential-time algorithms NP-hard problems on directed graphs Outbranching with a maximum number of leaves Outbranching with a maximum number of leaves NP-hard problems on directed graphs Exact exponential-time algorithms
ISSN:	1570-8667, 1570-8675
Online Access:	Get full text
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Summary:	Given a directed graph G=(V,A), the Directed Maximum Leaf Spanning Tree problem asks to compute a directed spanning tree with as many leaves as possible. By designing a branching algorithm analyzed with Measure&Conquer, we show that the problem can be solved in time O⁎(1.9044n) using polynomial space. Allowing exponential space, this run time upper bound can be lowered to O⁎(1.8139n). We also provide an example showing a lower-bound for the running time of our algorithm.
ISSN:	1570-8667 1570-8675
DOI:	10.1016/j.jda.2012.03.006