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On 𝖿 -wise arc forwarding index and wavelength allocations in faulty all-optical hypercubes

Ján Maňuch, Ladislav Stacho (2003)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Motivated by the wavelength division multiplexing in all-optical networks, we consider the problem of finding an optimal (with respect to the least possible number of wavelengths) set of f + 1 internally node disjoint dipaths connecting all pairs of distinct nodes in the binary r -dimensional hypercube, where 0 f < r . This system of dipaths constitutes a routing protocol that remains functional in the presence of up to f faults (of nodes and/or links). The problem of constructing such protocols for general...

On ƒ-wise Arc Forwarding Index and Wavelength Allocations in Faulty All-optical Hypercubes

Ján Maňuch, Ladislav Stacho (2010)

RAIRO - Theoretical Informatics and Applications

Motivated by the wavelength division multiplexing in all-optical networks, we consider the problem of finding an optimal (with respect to the least possible number of wavelengths) set of ƒ+1 internally node disjoint dipaths connecting all pairs of distinct nodes in the binary r-dimensional hypercube, where 0 ≤ ƒ < r. This system of dipaths constitutes a routing protocol that remains functional in the presence of up to ƒ faults (of nodes and/or links). The problem of constructing such...

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