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» On Touching Triangle Graphs
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WWW
2011
ACM
14 years 8 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»
16 years 2 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
104
Voted
DAM
1999
132views more  DAM 1999»
15 years 1 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
FOCS
2009
IEEE
15 years 8 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
EJC
2006
15 years 1 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