A note on two circumference generalizations of Chvátal's Hamiltonicity condition
On -wise arc forwarding index and wavelength allocations in faulty all-optical hypercubes
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 internally node disjoint dipaths connecting all pairs of distinct nodes in the binary -dimensional hypercube, where . This system of dipaths constitutes a routing protocol that remains functional in the presence of up to 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
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 internally node disjoint dipaths connecting all pairs of distinct nodes in the binary -dimensional hypercube, where . This system of dipaths constitutes a routing protocol that remains functional in the presence of up to faults (of nodes and/or links). The problem of constructing such protocols for general...
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