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CIAC
2006
Springer
100views Algorithms» more  CIAC 2006»
13 years 8 months ago
Distributed Approximation Algorithms for Planar Graphs
In this paper we construct two distributed algorithms for computing approximations of a largest matching and a minimum dominating set in planar graphs on n vertices. The approximat...
Andrzej Czygrinow, Michal Hanckowiak, Edyta Szyman...
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
13 years 9 months ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...
FOCS
2005
IEEE
13 years 10 months ago
An Approximation Algorithm for the Disjoint Paths Problem in Even-Degree Planar Graphs
In joint work with ´Eva Tardos in 1995, we asked whether it was possible to obtain a polynomial-time, polylogarithmic approximation algorithm for the disjoint paths problem in th...
Jon M. Kleinberg
NIPS
2007
13 years 6 months ago
Local Algorithms for Approximate Inference in Minor-Excluded Graphs
We present a new local approximation algorithm for computing MAP and logpartition function for arbitrary exponential family distribution represented by a finite-valued pair-wise ...
Kyomin Jung, Devavrat Shah
COMPGEOM
2009
ACM
13 years 11 months ago
Randomly removing g handles at once
It was shown in [11] that any orientable graph of genus g can be probabilistically embedded into a graph of genus g − 1 with constant distortion. Removing handles one by one giv...
Glencora Borradaile, James R. Lee, Anastasios Sidi...