Fault Tolerance of Cayley Graphs
โ Scribed by Shuhong Gao; Beth Novick
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 145 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0218-0006
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๐ SIMILAR VOLUMES
A graph G \* is a k-node fault-tolerant supergraph of a graph G , denoted k-NFT( G), if every graph obtained by removing k nodes from G\* contains G. A k-NFT(G) graph G\* is said to be optimal if it contains n + k nodes, where n is the number of nodes of G and G \* has the minimum number of edges am
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 D(t, H) of edges such that even after deleting any t edges from G the remaini
A graph G\* is l-edge fault tolerant with respect to a graph G, denoted by I-EFT( G), if any graph obtained by removing an edge from G' contains G. A l-Em(G) graph is said to be optimal if it contains the minimum number of edges among all I-EFT( G) graphs. Let Gf be 1 -EJ!T( Gi) for i = 1,2. It can