1996 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '96)
Fault-Tolerant Graphs for Tori
Beijing, CHINA
June 12-June 14
ISBN: 0-8186-7460-1
Motivated by the design of fault-tolerant multiprocessor interconnection networks, this paper considers the following problem: Given a positive integer t and a graph H, construct a graph G from H by adding a minimum number A(t,H) of edges such that even after deleting any t edges from G the remaining graph contains H as a subgraph. We estimate A(t,H) for the torus, which is well-known as a very important interconnection network for multiprocessor systems.
Index Terms:
Tori, Matric Graphs, Edge-Fault-Tolerant Graphs, Dimension-Fault-Tolerant Graphs, Error-Correcting Linear Codes
Citation:
Toshinori Yamada, Shuichi Ueno, "Fault-Tolerant Graphs for Tori," ispan, pp.408, 1996 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '96), 1996