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dc.contributor.authorJavaid, Muhammaden_US
dc.contributor.authorRaheem, Abdulen_US
dc.contributor.authorAbbas, Mujhaiden_US
dc.contributor.authorCao, Jindeen_US
dc.date.accessioned2020-11-03T13:27:36Z
dc.date.available2020-11-03T13:27:36Z
dc.date.issued2019
dc.identifier.citationJavaid, M., Raheem, A., Abbas, M. & Cao, J. (2019). M-polynomial method for topological indices of 3-layered probabilistic neural networks. TWMS Journal of Applied and Engineering Mathematics, 9(4), 864-875.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2777
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/103-vol9no4/474
dc.description.abstractA molecular network can be uniquely identified by a number, polynomial or matrix. A topological index (TI) is a number that characterizes a molecular network completely which is used to predict the physical features of the certain changes such as bioactivities and chemical reactivities in the chemical compound. Javaid and Cao [Neural Comput. and Applic., 30(2018), 3869-3876] studied the first Zagreb index, second Zagreb index, general Randic index, and augmented Zagreb index for the 3-layered probabilistic neural networks (PNN). In this paper, we prove the M-polynomial of the 3-layered PNN and use it as a latest developed tool to compute the certain degree based TI’s. At the end, a comparison is also shown to find the better one among all the obtained results.en_US
dc.description.sponsorshipThe authors would like to express their sincere gratitude to the anonymous referees for their insightful comments and valuable suggestions, which led to a number of improvements in the earlier version of this manuscript. For this work, the author Jinde Cao is jointly supported by the National Natural Science Foundation of China under grant nos. 61573096 and 61272530, and The Jiangsu Provincial Key Laboratory of Networked Collective Intelligence of China under grant no. BM2017002.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectM-polynomialen_US
dc.subjectDegree-based TI’sen_US
dc.subjectNetworksen_US
dc.subjectProbabilistic neural networken_US
dc.titleM-polynomial method for topological indices of 3-layered probabilistic neural networksen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume9
dc.identifier.issue4
dc.identifier.startpage864
dc.identifier.endpage875
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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