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» On the hyperbolicity constant in graphs
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TVCG
2010
141views more  TVCG 2010»
15 years 4 months ago
Fast Construction of k-Nearest Neighbor Graphs for Point Clouds
—We present a parallel algorithm for k-nearest neighbor graph construction that uses Morton ordering. Experiments show that our approach has the following advantages over existin...
Michael Connor, Piyush Kumar
SIAMCOMP
2011
14 years 9 months ago
An Expansion Tester for Bounded Degree Graphs
We consider the problem of testing graph expansion (either vertex or edge) in the bounded degree model [10]. We give a property tester that given a graph with degree bound d, an ex...
Satyen Kale, C. Seshadhri
STOC
2005
ACM
135views Algorithms» more  STOC 2005»
16 years 6 months ago
Quadratic forms on graphs
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
Noga Alon, Konstantin Makarychev, Yury Makarychev,...
WADS
2007
Springer
145views Algorithms» more  WADS 2007»
16 years 12 days ago
Approximate Shortest Paths Guided by a Small Index
Distance oracles and graph spanners are excerpts of a graph that allow to compute approximate shortest paths. Here, we consider the situation where it is possible to access the ori...
Jörg Derungs, Riko Jacob, Peter Widmayer
STOC
1990
ACM
95views Algorithms» more  STOC 1990»
15 years 10 months ago
Separators in Two and Three Dimensions
a 3-dimensions a separator size where is the ber of 3-simplexes in and is the number of ization of the separator results for planar graphs, such as the and Tarjan planar separator...
Gary L. Miller, William P. Thurston