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SIAMDM
2010
136views more  SIAMDM 2010»
13 years 2 months ago
Obnoxious Centers in Graphs
We consider the problem of finding obnoxious centers in graphs. For arbitrary graphs with n vertices and m edges, we give a randomized algorithm with O(n log2 n + m log n) expecte...
Sergio Cabello, Günter Rote
ESA
2007
Springer
188views Algorithms» more  ESA 2007»
14 years 1 months ago
Fast and Compact Oracles for Approximate Distances in Planar Graphs
We present an experimental evaluation of an approximate distance oracle recently suggested by Thorup [1] for undirected planar graphs. The oracle uses the existence of graph separa...
Laurent Flindt Muller, Martin Zachariasen
SIAMCOMP
1998
85views more  SIAMCOMP 1998»
13 years 7 months ago
Separator-Based Sparsification II: Edge and Vertex Connectivity
We consider the problem of maintaining a dynamic planar graph subject to edge insertions and edge deletions that preserve planarity but that can change the embedding. We describe a...
David Eppstein, Zvi Galil, Giuseppe F. Italiano, T...
STOC
2007
ACM
110views Algorithms» more  STOC 2007»
14 years 7 months ago
Randomly coloring planar graphs with fewer colors than the maximum degree
Thomas P. Hayes, Juan Carlos Vera, Eric Vigoda
FOCS
2005
IEEE
14 years 1 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