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» On Touching Triangle Graphs
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WWW
2011
ACM
14 years 6 months ago
Counting triangles and the curse of the last reducer
The clustering coefficient of a node in a social network is a fundamental measure that quantifies how tightly-knit the community is around the node. Its computation can be reduce...
Siddharth Suri, Sergei Vassilvitskii
STOC
2004
ACM
88views Algorithms» more  STOC 2004»
15 years 12 months ago
Expander flows, geometric embeddings and graph partitioning
We give a O( log n)-approximation algorithm for sparsest cut, edge expansion, balanced separator, and graph conductance problems. This improves the O(log n)-approximation of Leig...
Sanjeev Arora, Satish Rao, Umesh V. Vazirani
DAM
1999
132views more  DAM 1999»
14 years 11 months ago
Data-dependent Bounds for the General and the Asymmetric Stacker-Crane Problems
The Stacker-Crane Problem (SCP) isa sequencing problem, arising inscheduling and transportation, that consists of nding the minimum cost cycle on a mixed graph with oriented arcs ...
Giovanni Righini, Marco Trubian
102
Voted
FOCS
2009
IEEE
15 years 6 months ago
Regularity Lemmas and Combinatorial Algorithms
— We present new combinatorial algorithms for Boolean matrix multiplication (BMM) and preprocessing a graph to answer independent set queries. We give the first asymptotic impro...
Nikhil Bansal, Ryan Williams
66
Voted
EJC
2006
14 years 11 months ago
Homomorphism bounded classes of graphs
A class C of graphs is said to be H-bounded if each graph in the class C admits a homomorphism to H. We give a general necessary and sufficient condition for the existence of boun...
Timothy Marshall, Reza Nasraser, Jaroslav Nesetril