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IPL
1998
119views more  IPL 1998»
13 years 5 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
FSTTCS
2001
Springer
13 years 10 months ago
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...
Radha Krishnan, Balaji Raghavachari
IPCO
2001
166views Optimization» more  IPCO 2001»
13 years 7 months ago
Approximate k-MSTs and k-Steiner Trees via the Primal-Dual Method and Lagrangean Relaxation
Garg [10] gives two approximation algorithms for the minimum-cost tree spanning k vertices in an undirected graph. Recently Jain and Vazirani [16] discovered primal-dual approxima...
Fabián A. Chudak, Tim Roughgarden, David P....
SWAT
1990
Springer
75views Algorithms» more  SWAT 1990»
13 years 10 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
IJKESDP
2010
149views more  IJKESDP 2010»
13 years 4 months ago
An approximate solution method based on tabu search for k-minimum spanning tree problems
—This paper considers k-minimum spanning tree problems. An existing solution algorithm based on tabu search, which was proposed by Katagiri et al., includes an iterative solving ...
Hideki Katagiri, Tomohiro Hayashida, Ichiro Nishiz...