Calculating topological indices of certain OTIS interconnection networks

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 rese...

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Main Authors: Aslam Adnan, Ahmad Safyan, Binyamin Muhammad Ahsan, Gao Wei
Format: Article
Language:English
Published: De Gruyter 2019-04-01
Series:Open Chemistry
Subjects:
Online Access:http://www.degruyter.com/view/j/chem.2019.17.issue-1/chem-2019-0029/chem-2019-0029.xml?format=INT
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author Aslam Adnan
Ahmad Safyan
Binyamin Muhammad Ahsan
Gao Wei
author_facet Aslam Adnan
Ahmad Safyan
Binyamin Muhammad Ahsan
Gao Wei
author_sort Aslam Adnan
collection DOAJ
description 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 ABC4 and GA5 indices for the OTIS biswapped networks by considering basis graph as a path and k-regular graph of order n.
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spelling doaj.art-2e51d15c1c5c4d91b13d49f3261a0b3f2022-12-21T19:00:30ZengDe GruyterOpen Chemistry2391-54202019-04-0117122022810.1515/chem-2019-0029chem-2019-0029Calculating topological indices of certain OTIS interconnection networksAslam Adnan0Ahmad Safyan1Binyamin Muhammad Ahsan2Gao Wei3School of Information Science and Technology, Yunnan Normal University, Kunming, 650500, ChinaUniversity of Engineering and Technology, Lahore(RCET), PakistanAbdus Salam School of Mathematical Sciences GC University, Lahore, PakistanDepartment of Mathematics, GC University, Faisalabad, PakistanRecently, 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.http://www.degruyter.com/view/j/chem.2019.17.issue-1/chem-2019-0029/chem-2019-0029.xml?format=INToptical transpose interconnection system (otis) networkotis swapped networksotis biswapped networksmolecular topological indices
spellingShingle Aslam Adnan
Ahmad Safyan
Binyamin Muhammad Ahsan
Gao Wei
Calculating topological indices of certain OTIS interconnection networks
Open Chemistry
optical transpose interconnection system (otis) network
otis swapped networks
otis biswapped networks
molecular topological indices
title Calculating topological indices of certain OTIS interconnection networks
title_full Calculating topological indices of certain OTIS interconnection networks
title_fullStr Calculating topological indices of certain OTIS interconnection networks
title_full_unstemmed Calculating topological indices of certain OTIS interconnection networks
title_short Calculating topological indices of certain OTIS interconnection networks
title_sort calculating topological indices of certain otis interconnection networks
topic optical transpose interconnection system (otis) network
otis swapped networks
otis biswapped networks
molecular topological indices
url http://www.degruyter.com/view/j/chem.2019.17.issue-1/chem-2019-0029/chem-2019-0029.xml?format=INT
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