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» Triangle Fixing Algorithms for the Metric Nearness Problem
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KDD
2009
ACM
204views Data Mining» more  KDD 2009»
14 years 5 months ago
DOULION: counting triangles in massive graphs with a coin
Counting the number of triangles in a graph is a beautiful algorithmic problem which has gained importance over the last years due to its significant role in complex network analy...
Charalampos E. Tsourakakis, U. Kang, Gary L. Mille...
KAIS
2011
129views more  KAIS 2011»
12 years 12 months ago
Counting triangles in real-world networks using projections
Triangle counting is an important problem in graph mining. Two frequently used metrics in complex network analysis which require the count of triangles are the clustering coefficie...
Charalampos E. Tsourakakis
ECCC
2006
70views more  ECCC 2006»
13 years 5 months ago
Finding a Heaviest Triangle is not Harder than Matrix Multiplication
We show that for any > 0, a maximum-weight triangle in an undirected graph with n vertices and real weights assigned to vertices can be found in time O(n + n2+), where is the ...
Artur Czumaj, Andrzej Lingas
EVOW
2007
Springer
13 years 11 months ago
Reducing the Size of Traveling Salesman Problem Instances by Fixing Edges
Abstract. The Traveling Salesman Problem (TSP) is a well-known NPhard combinatorial optimization problem, for which a large variety of evolutionary algorithms are known. However, t...
Thomas Fischer, Peter Merz
CORR
2010
Springer
249views Education» more  CORR 2010»
13 years 5 months ago
Lower Bounds on Near Neighbor Search via Metric Expansion
In this paper we show how the complexity of performing nearest neighbor (NNS) search on a metric space is related to the expansion of the metric space. Given a metric space we loo...
Rina Panigrahy, Kunal Talwar, Udi Wieder