1 research outputs found
Fault-tolerant analysis of augmented cubes
The augmented cube , proposed by Choudum and Sunitha [S. A. Choudum, V.
Sunitha, Augmented cubes, Networks 40 (2) (2002) 71-84], is a -regular
-connected graph . This paper determines that the 2-extra
connectivity of is for and the 2-extra
edge-connectivity is for . That is, for
(respectively, ), at least vertices (respectively,
edges) of have to be removed to get a disconnected graph that contains
no isolated vertices and isolated edges. When the augmented cube is used to
model the topological structure of a large-scale parallel processing system,
these results can provide more accurate measurements for reliability and fault
tolerance of the system