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» The (K, k)-Capacitated Spanning Tree Problem
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IPL
1998
119views more  IPL 1998»
13 years 7 months ago
A 2.5-Factor Approximation Algorithm for the k-MST Problem
The k-MST problem requires finding that subset of at least k vertices of a given graph whose Minimum Spanning Tree has least weight amongst all subsets of at least k vertices. Th...
Sunil Arya, H. Ramesh
FOCS
2006
IEEE
14 years 1 months ago
Minimum Bounded Degree Spanning Trees
We consider the minimum cost spanning tree problem under the restriction that all degrees must be at most a given value k. We show that we can efficiently find a spanning tree o...
Michel X. Goemans
CIAC
2010
Springer
376views Algorithms» more  CIAC 2010»
14 years 4 months ago
Kernelization for Maximum Leaf Spanning Tree with Positive Vertex Weights
In this paper we consider a natural generalization of the well-known Max Leaf Spanning Tree problem. In the generalized Weighted Max Leaf problem we get as input an undirected co...
Bart Jansen
SWAT
1990
Springer
75views Algorithms» more  SWAT 1990»
13 years 11 months ago
Finding the k Smallest Spanning Trees
We give improved solutions for the problem of generating the k smallest spanning trees in a graph and in the plane. Our algorithm for general graphs takes time O(m log (m, n) + k2...
David Eppstein
FOCS
1996
IEEE
13 years 11 months ago
A 3-Approximation for the Minimum Tree Spanning k Vertices
In thispaper we give a 3-approximationalgorithmfor the problem ojJnding a minimum tree spanning any k-vertices in a graph. Our algorithm extends to a 3-approximationalgorithmfor t...
Naveen Garg