Ring embedding in faulty (n,k)-star graphs
In this paper we consider the ring embedding problem in faulty (n,k)-star graphs. An (n,k)-star graph is recently proposed as an attractive interconnection network topology and also known as the generalized version of an n-star graph with scalability such that the number of nodes in the graph can be...
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| Published in: | Proceedings. Eighth International Conference on Parallel and Distributed Systems. ICPADS 2001 pp. 99 - 106 |
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| Main Authors: | , |
| Format: | Conference Proceeding |
| Language: | English |
| Published: |
IEEE
2001
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| Subjects: | |
| ISBN: | 0769511538, 9780769511535 |
| ISSN: | 1521-9097 |
| Online Access: | Get full text |
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| Summary: | In this paper we consider the ring embedding problem in faulty (n,k)-star graphs. An (n,k)-star graph is recently proposed as an attractive interconnection network topology and also known as the generalized version of an n-star graph with scalability such that the number of nodes in the graph can be suitably adjustable by two dimensioning parameters n and k. Our scheme is proceeded in top-down style in such a manner that the resulting sub-stars maintain evenly distributed faults. We show that a ring of length n!/(n-k)!-f can be found in an (n,k)-star graph having n!/(n-k)! nodes when the number of faulty nodes f is at most n-3 and n-k/spl ges/2. |
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| ISBN: | 0769511538 9780769511535 |
| ISSN: | 1521-9097 |
| DOI: | 10.1109/ICPADS.2001.934807 |

