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» On Touching Triangle Graphs
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CORR
2010
Springer
74views Education» more  CORR 2010»
13 years 5 months ago
A note on the random greedy triangle-packing algorithm
The random greedy algorithm for constructing a large partial Steiner-Triple-System is defined as follows. We begin with a complete graph on n vertices and proceed to remove the ed...
Tom Bohman, Alan M. Frieze, Eyal Lubetzky
NIPS
2004
13 years 7 months ago
Triangle Fixing Algorithms for the Metric Nearness Problem
Various problems in machine learning, databases, and statistics involve pairwise distances among a set of objects. It is often desirable for these distances to satisfy the propert...
Inderjit S. Dhillon, Suvrit Sra, Joel A. Tropp
CORR
2012
Springer
230views Education» more  CORR 2012»
12 years 1 months ago
Fast Triangle Counting through Wedge Sampling
Graphs and networks are used to model interactions in a variety of contexts, and there is a growing need to be able to quickly assess the qualities of a graph in order to understa...
C. Seshadhri, Ali Pinar, Tamara G. Kolda
DM
2008
88views more  DM 2008»
13 years 5 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
COMBINATORICS
2000
88views more  COMBINATORICS 2000»
13 years 5 months ago
Note on Sparse Random Graphs and Cover Graphs
It is shown in this note that with high probability it is enough to destroy all triangles in order to get a cover graph from a random graph Gn,p with p log n/n for any constant ...
Tom Bohman, Alan M. Frieze, Miklós Ruszink&...