Computational geometry: an introduction
Computational geometry: an introduction
The weighted region problem: finding shortest paths through a weighted planar subdivision
Journal of the ACM (JACM)
Approximation algorithms for geometric shortest path problems
STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
Cooperative facility location games
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Computing the arrangement of curve segments: divide-and-conquer algorithms via sampling
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Improved Optimal Weighted Links Algorithms
ICCS '02 Proceedings of the International Conference on Computational Science-Part III
Determining approximate shortest paths on weighted polyhedral surfaces
Journal of the ACM (JACM)
Querying approximate shortest paths in anisotropic regions
SCG '07 Proceedings of the twenty-third annual symposium on Computational geometry
Approximate shortest paths in anisotropic regions
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
A New Modeling for Finding Optimal Weighted Distances
BIOTECHNO '08 Proceedings of the 2008 International Conference on Biocomputation, Bioinformatics, and Biomedical Technologies
Line Facility Location in Weighted Regions
AAIM '08 Proceedings of the 4th international conference on Algorithmic Aspects in Information and Management
On finding approximate optimal paths in weighted regions
Journal of Algorithms
Algorithms for Approximate Shortest Path Queries on Weighted Polyhedral Surfaces
Discrete & Computational Geometry
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In this paper, we present approximation algorithms for solving the line facility location problem in weighted regions. The weighted region setup is a more realistic model for many facility location problems that arise in practical applications. Our algorithms exploit an interesting property of the problem, that could possibly be used for solving other problems in weighted regions.