Fault Tolerance Metric Dimension of Biswapped Graph

Abstract

The biswapped networks is a new interconnection networks in multiprocessor systems. These are networks of devices or processors and connection of these devices or processors. Here network can be expressed in the form of graph. Devices or processors represent vertices (nodes) and connection of devices or processors represent edges (links). The subset of the nodes set is called the resolving set if all the representations are different. The minimum cardinality of resolving set is called the locating number or metric dimension. If after the removal of any vertex from the resolving set the set remain the resolving set then the set is called fault tolerant resolving set and the minimum cardinality of this set is called fault tolerant metric dimension. In this article we found the fault tolerant metric dimension of biswapped graph.