STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Improved methods for approximating node weighted Steiner trees and connected dominating sets
Information and Computation
On the hardness of approximating minimization problems
Journal of the ACM (JACM)
Ring routing and wavelength translation
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
Wavelength conversion in optical networks
Journal of 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
Energy-Efficient Wireless Network Design
Theory of Computing Systems
The regenerator location problem
Networks - Network Optimization (INOC 2007)
Optimizing regenerator cost in traffic grooming
OPODIS'10 Proceedings of the 14th international conference on Principles of distributed systems
Optimizing regenerator cost in traffic grooming
Theoretical Computer Science
OPODIS'11 Proceedings of the 15th international conference on Principles of Distributed Systems
On the complexity of the regenerator cost problem in general networks with traffic grooming
OPODIS'11 Proceedings of the 15th international conference on Principles of Distributed Systems
Novel strategies for sparse regenerator placement in translucent optical networks
Photonic Network Communications
Placing regenerators in optical networks to satisfy multiple sets of requests
IEEE/ACM Transactions on Networking (TON)
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Placement of regenerators in optical networks has attracted the attention of recent research works in optical networks. In this problem, we are given a network with an underlying topology of a graph G and with a set of requests that correspond to paths in G. There is a need to put a regenerator every certain distance, because of a decrease in the power of the signal. In this paper, we investigate the problem of minimizing the number of locations to place the regenerators. We present analytical results regarding the complexity of this problem, in four cases, depending on whether or not there is a bound on the number of regenerators at each node, and depending on whether or not the routing is given or only the requests are given (and part of the solution is also to determine the actual routing). These results include polynomial time algorithms, NP-completeness results, approximation algorithms, and inapproximability results.