Abstract
Connectivity and diagnosability are very important parameters for the tolerant of an interconnection network. Let F be a vertex set of graph G, the g-extra connectivity k˜(g)(G) of G requires each component of G−F has at least (g+1) vertices. The g-extra conditional diagnosability t˜(g)(G) is the maximum number of faulty vertices that the graph can be guaranteed to identify under the condition that each fault-free component has at least g+1 vertices. In this paper, we study the problem about the g-extra connectivity k˜(g)(G) of the round matching composition networks, and obtain some results about the g-extra conditional diagnosability of the round matching composition networks under the PMC model and MM* model, respectively.
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