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» On tree congestion of graphs
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ESA
2009
Springer
112views Algorithms» more  ESA 2009»
15 years 4 months ago
Dynamic Programming on Tree Decompositions Using Generalised Fast Subset Convolution
Abstract. In this paper, we show that algorithms on tree decompositions can be made faster with the use of generalisations of fast subset convolution. Amongst others, this gives al...
Johan M. M. van Rooij, Hans L. Bodlaender, Peter R...
JCT
2006
110views more  JCT 2006»
14 years 9 months ago
Branch-width, parse trees, and monadic second-order logic for matroids
Abstract. We introduce "matroid parse trees" which, using only a limited amount of information at each node, can build up the vector representations of matroids of bounde...
Petr Hlinený
STOC
2004
ACM
88views Algorithms» more  STOC 2004»
15 years 10 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
SODA
2010
ACM
205views Algorithms» more  SODA 2010»
15 years 7 months ago
Maximum Flows and Parametric Shortest Paths in Planar Graphs
We observe that the classical maximum flow problem in any directed planar graph G can be reformulated as a parametric shortest path problem in the oriented dual graph G . This ref...
Jeff Erickson
CIKM
2003
Springer
15 years 3 months ago
Hierarchical graph indexing
Traffic analysis, in the context of Telecommunications or Internet and Web data, is crucial for large network operations. Data in such networks is often provided as large graphs w...
James Abello, Yannis Kotidis