Calculating topological indices of certain OTIS interconnection networks

Author:

Aslam Adnan1,Ahmad Safyan2,Binyamin Muhammad Ahsan3,Gao Wei4

Affiliation:

1. School of Information Science and Technology, Yunnan Normal University, Kunming, 650500, China

2. University of Engineering and Technology, Lahore(RCET), Pakistan

3. Abdus Salam School of Mathematical Sciences GC University, Lahore, Pakistan

4. Department of Mathematics, GC University, Faisalabad, Pakistan

Abstract

AbstractRecently, 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 ABC4 and GA5 indices for the OTIS biswapped networks by considering basis graph as a path and k-regular graph of order n.

Publisher

Walter de Gruyter GmbH

Subject

Materials Chemistry,General Chemistry

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4. Some upper bounds for the atom-bond connectivity index of graphs;Appl. Math. Lett,2012

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