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ALGORITHMICA
1998
94views more  ALGORITHMICA 1998»
13 years 8 months ago
A Fully Dynamic Approximation Scheme for Shortest Paths in Planar Graphs
In this paper we give a fully dynamic approximation scheme for maintaining all-pairs shortest paths in planar networks. Given an error parameter ε such that 0 < ε, our algorit...
Philip N. Klein, Sairam Subramanian
WADS
1993
Springer
163views Algorithms» more  WADS 1993»
14 years 26 days ago
Minimum Weight Euclidean Matching and Weighted Relative Neighborhood Graphs
The Minimum Weight Euclidean Matching (MWEM) problem is: given 2n point sites in the plane with Euclidean metric for interpoint distances, match the sites into n pairs so that the...
Andy Mirzaian
JDA
2006
83views more  JDA 2006»
13 years 8 months ago
Partitioning a graph of bounded tree-width to connected subgraphs of almost uniform size
Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wishes to partition G into connected components by del...
Takehiro Ito, Xiao Zhou, Takao Nishizeki
EUROPAR
1999
Springer
14 years 1 months ago
A New Algorithm for Multi-objective Graph Partitioning
Recently, a number of graph partitioning applications have emerged with additional requirements that the traditional graph partitioning model alone cannot e ectively handle. One s...
Kirk Schloegel, George Karypis, Vipin Kumar
APPROX
2009
Springer
125views Algorithms» more  APPROX 2009»
14 years 3 months ago
Minimizing Average Shortest Path Distances via Shortcut Edge Addition
We consider adding k shortcut edges (i.e. edges of small fixed length δ ≥ 0) to a graph so as to minimize the weighted average shortest path distance over all pairs of vertices...
Adam Meyerson, Brian Tagiku