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» Approximation Algorithms for Minimum Tree Partition
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FOCS
2004
IEEE
15 years 1 months ago
An Approximate Max-Steiner-Tree-Packing Min-Steiner-Cut Theorem
Given an undirected multigraph G and a subset of vertices S V (G), the STEINER TREE PACKING problem is to find a largest collection of edge-disjoint trees that each connects S. T...
Lap Chi Lau
DAGSTUHL
2007
14 years 11 months ago
Approximating min-max k-clustering
We consider the problems of set partitioning into k clusters with minimum total cost and minimum of the maximum cost of a cluster. The cost function is given by an oracle, and we ...
Asaf Levin
WAOA
2007
Springer
170views Algorithms» more  WAOA 2007»
15 years 3 months ago
A 5/3-Approximation for Finding Spanning Trees with Many Leaves in Cubic Graphs
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
José R. Correa, Cristina G. Fernandes, Mart...
SWAT
1992
Springer
116views Algorithms» more  SWAT 1992»
15 years 1 months ago
Sorting Multisets Stably in Minimum Space
Abstract. In a decision tree model, (n log2 n m i=1 ni log2 ni + n) is known to be a lower bound for sorting a multiset of size n containing m distinct elements, where the ith dist...
Jyrki Katajainen, Tomi Pasanen
IPL
1998
119views more  IPL 1998»
14 years 9 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