Molecular Descriptors of Nanotube, Oxide, Silicate, and Triangulene Networks

A topological index is a real number associated with chemical constitution purporting for correlation of chemical structure with various physical properties, chemical reactivity, or biological activity. The concept of hyper Zagreb index, first multiple Zagreb index, second multiple Zagreb index, and...

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Main Authors: Wei Gao, Muhammad Kamran Siddiqui
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Chemistry
Online Access:http://dx.doi.org/10.1155/2017/6540754
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author Wei Gao
Muhammad Kamran Siddiqui
author_facet Wei Gao
Muhammad Kamran Siddiqui
author_sort Wei Gao
collection DOAJ
description A topological index is a real number associated with chemical constitution purporting for correlation of chemical structure with various physical properties, chemical reactivity, or biological activity. The concept of hyper Zagreb index, first multiple Zagreb index, second multiple Zagreb index, and Zagreb polynomials was established in chemical graph theory based on vertex degrees. It is reported that these indices are useful in the study of anti-inflammatory activities of certain chemical networks. In this paper, we study carbon nanotube networks which are motivated by molecular structure of regular hexagonal lattice and also studied interconnection networks which are motivated by molecular structure of a chemical compound SiO4. We determine hyper Zagreb index, first multiple Zagreb index, second multiple Zagreb index, and Zagreb polynomials for some important class of carbon nanotube networks, dominating oxide network, dominating silicate network, and regular triangulene oxide network.
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publishDate 2017-01-01
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spelling doaj-art-4e7f6fdefb5e4c8f89a56b1b70c985a22025-08-20T03:36:41ZengWileyJournal of Chemistry2090-90632090-90712017-01-01201710.1155/2017/65407546540754Molecular Descriptors of Nanotube, Oxide, Silicate, and Triangulene NetworksWei Gao0Muhammad Kamran Siddiqui1School of Information Science and Technology, Yunnan Normal University, Kunming 650500, ChinaDepartment of Mathematics, Comsats Institute of Information Technology, Sahiwal 57000, PakistanA topological index is a real number associated with chemical constitution purporting for correlation of chemical structure with various physical properties, chemical reactivity, or biological activity. The concept of hyper Zagreb index, first multiple Zagreb index, second multiple Zagreb index, and Zagreb polynomials was established in chemical graph theory based on vertex degrees. It is reported that these indices are useful in the study of anti-inflammatory activities of certain chemical networks. In this paper, we study carbon nanotube networks which are motivated by molecular structure of regular hexagonal lattice and also studied interconnection networks which are motivated by molecular structure of a chemical compound SiO4. We determine hyper Zagreb index, first multiple Zagreb index, second multiple Zagreb index, and Zagreb polynomials for some important class of carbon nanotube networks, dominating oxide network, dominating silicate network, and regular triangulene oxide network.http://dx.doi.org/10.1155/2017/6540754
spellingShingle Wei Gao
Muhammad Kamran Siddiqui
Molecular Descriptors of Nanotube, Oxide, Silicate, and Triangulene Networks
Journal of Chemistry
title Molecular Descriptors of Nanotube, Oxide, Silicate, and Triangulene Networks
title_full Molecular Descriptors of Nanotube, Oxide, Silicate, and Triangulene Networks
title_fullStr Molecular Descriptors of Nanotube, Oxide, Silicate, and Triangulene Networks
title_full_unstemmed Molecular Descriptors of Nanotube, Oxide, Silicate, and Triangulene Networks
title_short Molecular Descriptors of Nanotube, Oxide, Silicate, and Triangulene Networks
title_sort molecular descriptors of nanotube oxide silicate and triangulene networks
url http://dx.doi.org/10.1155/2017/6540754
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AT muhammadkamransiddiqui moleculardescriptorsofnanotubeoxidesilicateandtriangulenenetworks