A unified approach to approximation algorithms for bottleneck problems
Journal of the ACM (JACM)
Improved complexity bounds for center location problems on networks by using dynamic data structures
SIAM Journal on Discrete Mathematics
An overview of representative problems in location research
Management Science
Journal of the ACM (JACM)
Computers and Intractability; A Guide to the Theory of NP-Completeness
Computers and Intractability; A Guide to the Theory of NP-Completeness
Scheduling with conflicts on bipartite and interval graphs
Journal of Scheduling - Special issue: On-line scheduling
Journal of Computer and System Sciences
Structured p-facility location problems on the line solvable in polynomial time
Operations Research Letters
A memetic genetic algorithm for the vertex p-center problem
Evolutionary Computation
The p-maxian problem on interval graphs
Discrete Applied Mathematics
Modelling gateway placement in wireless networks: Geometric k-centres of unit disc graphs
Computational Geometry: Theory and Applications
Solving the constrained p-center problem using heuristic algorithms
Applied Soft Computing
The connected p-center problem on block graphs with forbidden vertices
Theoretical Computer Science
Backup 2-center on interval graphs
Theoretical Computer Science
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The p-center problem is to locate p facilities in a network of n demand points so as to minimize the longest distance between a demand point and its nearest facility. We consider this problem by modelling the network as an interval graph whose edges all have unit lengths. We present an O(n) time algorithm for the problem under the assumption that the endpoints of the intervals are sorted, which improves on the existing best algorithm for the problem that has a run time of O(pn).