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» Approximation Algorithms for Dominating Set in Disk Graphs
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NETWORKS
2006
13 years 7 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»
13 years 7 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
SIAMCOMP
2000
125views more  SIAMCOMP 2000»
13 years 7 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»
12 years 10 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
JCT
2007
117views more  JCT 2007»
13 years 7 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