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DAM
1999
169views more  DAM 1999»
14 years 11 months ago
Approximating the Weight of Shallow Steiner Trees
This paper deals with the problem of constructing Steiner trees of minimum weight with diameter bounded by d, spanning a given set of vertices in a graph. Exact solutions or logar...
Guy Kortsarz, David Peleg
JCO
2010
169views more  JCO 2010»
14 years 10 months ago
An almost four-approximation algorithm for maximum weight triangulation
We consider the following planar maximum weight triangulation (MAT) problem: given a set of n points in the plane, find a triangulation such that the total length of edges in tria...
Shiyan Hu
DCG
2010
289views more  DCG 2010»
14 years 11 months ago
Algorithms for Approximate Shortest Path Queries on Weighted Polyhedral Surfaces
We consider the well known geometric problem of determining shortest paths between pairs of points on a polyhedral surface P, where P consists of triangular faces with positive we...
Lyudmil Aleksandrov, Hristo Djidjev, Hua Guo, Anil...
FCT
2007
Springer
15 years 3 months ago
On Approximating Optimal Weighted Lobbying, and Frequency of Correctness Versus Average-Case Polynomial Time
We investigate issues regarding two hard problems related to voting, the optimal weighted lobbying problem and the winner problem for Dodgson elections. Regarding the former, Chris...
Gábor Erdélyi, Lane A. Hemaspaandra,...
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
15 years 3 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...