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» Random Spanning Trees and the Prediction of Weighted Graphs
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STOC
2005
ACM
115views Algorithms» more  STOC 2005»
14 years 8 months ago
Lower-stretch spanning trees
We show that every weighted connected graph G contains as a subgraph a spanning tree into which the edges of G can be embedded with average stretch O log2 n log log n . Moreover, w...
Michael Elkin, Yuval Emek, Daniel A. Spielman, Sha...
BIRTHDAY
2009
Springer
14 years 2 months ago
The Weak Gap Property in Metric Spaces of Bounded Doubling Dimension
We introduce the weak gap property for directed graphs whose vertex set S is a metric space of size n. We prove that, if the doubling dimension of S is a constant, any directed gra...
Michiel H. M. Smid
STOC
2010
ACM
261views Algorithms» more  STOC 2010»
14 years 21 days ago
An Improved LP-based Approximation for Steiner Tree
The Steiner tree problem is one of the most fundamental ÆÈ-hard problems: given a weighted undirected graph and a subset of terminal nodes, find a minimum weight tree spanning ...
Jaroslaw Byrka, Fabrizio Grandoni, Thomas Rothvoss...
WDAG
2007
Springer
162views Algorithms» more  WDAG 2007»
14 years 1 months ago
A Distributed Algorithm for Finding All Best Swap Edges of a Minimum Diameter Spanning Tree
Communication in networks suffers if a link fails. When the links are edges of a tree that has been chosen from an underlying graph of all possible links, a broken link even disco...
Beat Gfeller, Nicola Santoro, Peter Widmayer
EACL
2009
ACL Anthology
13 years 5 months ago
Improving Grammaticality in Statistical Sentence Generation: Introducing a Dependency Spanning Tree Algorithm with an Argument S
like text summarisation requires a means of producing novel summary sentences. In order to improve the grammaticality of the generated sentence, we model a global (sentence) level...
Stephen Wan, Mark Dras, Robert Dale, Cécile...