Abstract
This paper derives a number of results related to the topological properties of OTIS k-ary n-cube interconnection networks. The basic topological metrics of size, degree, shortest distance, and diameter are obtained. Then results related to embedding in OTIS k-ary n-cubes of OTIS k-ary (n-1)-cubes, cycles, meshes, cubes, and spanning trees are derived. The OTIS k-ary n-cube is shown to be Hamiltonian. Minimal one-to-one routing and optimal broadcasting algorithms are proposed. The OTIS k-ary n-cube is shown to be maximally fault-tolerant. These results are derived based on known properties of k-ary n-cube networks and general properties of OTIS networks.
Original language | English |
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Pages (from-to) | 697-705 |
Number of pages | 9 |
Journal | Journal of Systems Architecture |
Volume | 50 |
Issue number | 11 |
DOIs | |
Publication status | Published - Nov 2004 |
Keywords
- Interconnection networks
- K-ary n-cube
- Optical transpose interconnection systems
- Topological properties
ASJC Scopus subject areas
- Software
- Hardware and Architecture