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» Improved Steiner tree approximation in graphs
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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
JCSS
2011
95views more  JCSS 2011»
13 years 2 months ago
Hardness results for approximating the bandwidth
The bandwidth of an n-vertex graph G is the minimum value b such that the vertices of G can be mapped to distinct integer points on a line without any edge being stretched to a di...
Chandan K. Dubey, Uriel Feige, Walter Unger
DISOPT
2008
107views more  DISOPT 2008»
13 years 7 months ago
The k-path tree matroid and its applications to survivable network design
We define the k-path tree matroid, and use it to solve network design problems in which the required connectivity is arbitrary for a given pair of nodes, and 1 for the other pairs...
Esther M. Arkin, Refael Hassin
AAIM
2011
Springer
337views Algorithms» more  AAIM 2011»
12 years 11 months ago
On Variants of the Spanning Star Forest Problem
A star forest is a collection of vertex-disjoint trees of depth at most 1, and its size is the number of leaves in all its components. A spanning star forest of a given graph G is ...
Jing He, Hongyu Liang
CORR
2004
Springer
119views Education» more  CORR 2004»
13 years 7 months ago
The Largest Compatible Subset Problem for Phylogenetic Data
Abstract. The phylogenetic tree construction is to infer the evolutionary relationship between species from the experimental data. However, the experimental data are often imperfec...
Andy Auyeung, Ajith Abraham