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On topological properties of hierarchical interconnection networks

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There is really a lot of mathematics involved in electrical and electronic engineering. It depends on what area of electrical and electronic engineering, for example there is a lot more… Click to show full abstract

There is really a lot of mathematics involved in electrical and electronic engineering. It depends on what area of electrical and electronic engineering, for example there is a lot more abstract mathematics in communication theory and signal processing and networking etc. Networks involve nodes communicating with each other. A lot of computers linked together form a network. Cell phone users form a network. Networking involves the study of the best way of implementing a network. Graph theory has found a considerable use in this area of research. In this paper, we extend this study to interconnection networks and derive analytical closed results of general Randić index $$R_{\alpha }(G)$$Rα(G) for different values of “$$\alpha $$α” for block shift network (BSN-1) and (BSN-2), Hierarchical hypercube (HHC-1) and (HHC-2). We also compute first Zagreb, $$\textit{ABC}$$ABC, $$\textit{GA}$$GA, $$\textit{ABC}_{4}$$ABC4 and $$\textit{GA}_{5}$$GA5 indices and give closed formulae of these indices for Hierarchical interconnection networks.

Keywords: textit; interconnection networks; network; mathematics; hierarchical interconnection

Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2017

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