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» Approximation Algorithms for Dominating Set in Disk Graphs
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141
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NETWORKS
2006
15 years 2 months ago
Lower bounds for the relative greedy algorithm for approximating Steiner trees
Abstract. The Steiner tree problem is to find a shortest subgraph that spans a given set of vertices in a graph. This problem is known to be NP-hard and it is well known that a pol...
Stefan Hougardy, Stefan Kirchner
DM
2008
88views more  DM 2008»
15 years 2 months ago
Packing triangles in low degree graphs and indifference graphs
We consider the problems of finding the maximum number of vertex-disjoint triangles (VTP) and edge-disjoint triangles (ETP) in a simple graph. Both problems are NP-hard. The algor...
Gordana Manic, Yoshiko Wakabayashi
138
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SIAMCOMP
2000
125views more  SIAMCOMP 2000»
15 years 2 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid
SDM
2011
SIAM
414views Data Mining» more  SDM 2011»
14 years 5 months ago
Clustered low rank approximation of graphs in information science applications
In this paper we present a fast and accurate procedure called clustered low rank matrix approximation for massive graphs. The procedure involves a fast clustering of the graph and...
Berkant Savas, Inderjit S. Dhillon
114
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JCT
2007
117views more  JCT 2007»
15 years 2 months ago
Large independent sets in regular graphs of large girth
Let G be a d-regular graph with girth g, and let α be the independence number of G. We show that α(G) ≥ 1 2 1 − (d − 1)−2/(d−2) − (g) n where (g) → 0 as g → ∞,...
Joseph Lauer, Nicholas C. Wormald