A threshold of ln n for approximating set cover (preliminary version)
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
Approximating shallow-light trees
SODA '97 Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms
Complexity and Approximation: Combinatorial Optimization Problems and Their Approximability Properties
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Approximation algorithms for combinatorial problems
Journal of Computer and System Sciences
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In this paper we study the k-station placement problem (k-SP problem, in short) on graphs. This problem has application to efficient multicasting in circuit-switched networks and to space efficient traversals. We show that the problem is NP-complete even for 3-stage graphs and give an approximation algorithm with logarithmic approximation ratio. Moreover we show that the problem can be solved in polynomial time for trees.