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Published in:
21-07-2016 | Original Research
On topological properties of hierarchical interconnection networks
Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2017
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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 \(R_{\alpha }(G)\) for different values of “\(\alpha \)” for block shift network (BSN-1) and (BSN-2), Hierarchical hypercube (HHC-1) and (HHC-2). We also compute first Zagreb, \(\textit{ABC}\), \(\textit{GA}\), \(\textit{ABC}_{4}\) and \(\textit{GA}_{5}\) indices and give closed formulae of these indices for Hierarchical interconnection networks.