Calculating topological indices of certain OTIS interconnection networks

Adnan Aslam, Safyan Ahmad, Muhammad Ahsan Binyamin, Wei Gao

Open Chemistry · 2019 · 31 citations · 34 references

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Abstract

Abstract Recently, increasing attention has been paid to The Optical Transpose Interconnection System (OTIS) network because of its prospective applications in architectures for parallel as well as distributed systems [27, 28]. Different interconnection networks in the context of topological indices are researched recently in [25, 26]. This article includes the computions of the general Randi´c, first and second Zagreb, general sum connectivity, first and second multiple zagreb, hyper zagreb, ABC and GA indices for OTIS (swapped and biswapped) networks by taking path and k -regular graph on n vertices as a base graphs. In addition, some delicated formulas are also obtained for the ABC 4 and GA 5 indices for the OTIS biswapped networks by considering basis graph as a path and k -regular graph of order n .

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34