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DAM
2006
88views more  DAM 2006»
13 years 9 months ago
A characterization of triangle-free tolerance graphs
We prove that a triangle-free graph G is a tolerance graph if and only if there exists a set of consecutively ordered stars that partition the edges of G. Since tolerance graphs a...
Arthur H. Busch
ICDE
2006
IEEE
164views Database» more  ICDE 2006»
14 years 10 months ago
A Partition-Based Approach to Graph Mining
Existing graph mining algorithms typically assume that databases are relatively static and can fit into the main memory. Mining of subgraphs in a dynamic environment is currently ...
Junmei Wang, Wynne Hsu, Mong-Li Lee, Chang Sheng
STOC
2004
ACM
88views Algorithms» more  STOC 2004»
14 years 9 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
FOCI
2007
IEEE
14 years 3 months ago
A New Reduction from 3SAT to n-Partite Graphs
— The Constraint Satisfaction Problem (CSP) is one of the most prominent problems in artificial intelligence, logic, theoretical computer science, engineering and many other are...
Daniel J. Hulme, Robin Hirsch, Bernard F. Buxton, ...
APPML
2010
86views more  APPML 2010»
13 years 9 months ago
A note on single-linkage equivalence
We introduce the concept of single-linkage equivalence of edge-weighted graphs, we apply it to characterise maximal spanning trees and "ultrasimilarities", and we discus...
Andreas W. M. Dress, Taoyang Wu, XiaoMing Xu