Abstract

The problem of embedding link-disjoint Hamiltonian cycles into torus networks is addressed. The maximum number of link-disjoint cycles is limited to half the degree of the node in a regular network. Simple methods are presented to embed the maximum number of link-disjoint Hamiltonian cycles in an r-dimensional torus network. An algorithm for finding a Hamiltonian cycle in an r-dimensional torus in the presence of a set of faulty links is also given.

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