Abstract

Graph embeddings are not only used to study the simulation capabilities of a parallel architecture but also to design its VLSI layout. The n-dimensional hypercube is one of the most popular topological structure for interconnection networks in parallel computing and communication systems. The exchanged hypercube \(EH_{s,t}\) (where \(s\ge 1\) and \(t\ge 1\)) is obtained by systematically deleting edges from a hypercube \(Q_{s+t+1}\), which retains several valuable and desirable properties of the hypercube such as a small diameter, bipancyclicity, and super connectivity. In this paper, we identify maximum induced subgraph of \(EH_{s,t}\) and study embeddings of \(EH_{s,t}\) into a ring and a ladder with minimum wirelength.

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