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FSTTCS
2001
Springer

The Directed Minimum-Degree Spanning Tree Problem

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The Directed Minimum-Degree Spanning Tree Problem
Consider a directed graph G = (V, E) with n vertices and a root vertex r ∈ V . The DMDST problem for G is one of constructing a spanning tree rooted at r, whose maximal degree is the smallest among all such spanning trees. The problem is known to be NP-hard. A quasipolynomial time approximation algorithm for this problem is presented. The algorithm finds a spanning tree whose maximal degree is at most O(∆∗ + log n) where, ∆∗ is the degree of some optimal tree for the problem. The running time of the algorithm is shown to be O(nO(log n) ). Experimental results are presented showing that the actual running time of the algorithm is much smaller in practice.
Radha Krishnan, Balaji Raghavachari
Added 28 Jul 2010
Updated 28 Jul 2010
Type Conference
Year 2001
Where FSTTCS
Authors Radha Krishnan, Balaji Raghavachari
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