Approximation algorithms for constructing wavelength routing networks

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Approximation algorithms for constructing wavelength routing networks
Consider a requirement graph whose vertices represent customers and an edge represents the need to route a unit of flow between its end vertices along a single path. All of these flows are to be routed simultaneously. A solution network consists of a (multi)graph on the same set of vertices, such that it is possible to route simultaneously all of the required flows in such a way that no edge is used more than K times. The synthesis of wavelength routing network problem is to compute a solution network of minimum number of edges. This problem has significant importance in the world of fiber-optic networks where a link can carry a limited amount of different wavelengths and one is interested in finding a minimum cost network such that all the requirements can be carried in the network without changing the wavelength of a path at any of its internal vertices. In this paper we prove that SWRN problem is NP-hard for any constant K (K 2). Then we assume that GR is a clique with n vertices ...
Refael Hassin, Asaf Levin
Added 22 Dec 2010
Updated 22 Dec 2010
Type Journal
Year 2002
Authors Refael Hassin, Asaf Levin
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