<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2d1 20170631//EN" "JATS-journalpublishing1.dtd"> <ArticleSet> <Article> <Journal> <PublisherName>ijesm</PublisherName> <JournalTitle>International Journal of Engineering, Science and</JournalTitle> <PISSN>I</PISSN> <EISSN>S</EISSN> <Volume-Issue>Volume 7, Issue 9</Volume-Issue> <PartNumber/> <IssueTopic>Multidisciplinary</IssueTopic> <IssueLanguage>English</IssueLanguage> <Season>September 2018</Season> <SpecialIssue>N</SpecialIssue> <SupplementaryIssue>N</SupplementaryIssue> <IssueOA>Y</IssueOA> <PubDate> <Year>2018</Year> <Month>09</Month> <Day>24</Day> </PubDate> <ArticleType>Engineering, Science and Mathematics</ArticleType> <ArticleTitle>HARMONIC POLYNOMIAL AND HARMONIC INDEX OF MOLECULAR GRAPH</ArticleTitle> <SubTitle/> <ArticleLanguage>English</ArticleLanguage> <ArticleOA>Y</ArticleOA> <FirstPage>55</FirstPage> <LastPage>61</LastPage> <AuthorList> <Author> <FirstName>Raut Nagsen</FirstName> <LastName>Khanderao</LastName> <AuthorLanguage>English</AuthorLanguage> <Affiliation/> <CorrespondingAuthor>N</CorrespondingAuthor> <ORCID/> </Author> </AuthorList> <DOI/> <Abstract>Let G be a graph with vertex set V (G) and edge set E (G). The Harmonic polynomial is defined as H(G,x) = 2 , where d(v) is the degree of vertex v in G. In this paper degree, inverse degree and Revan vertex degree based Harmonic polynomials for 2, 2, 3-trimethyl pentane, carbon nanocone C5[2] and carbon nanotube TUAC6 are investigated.</Abstract> <AbstractLanguage>English</AbstractLanguage> <Keywords>Topological indices; molecular graph; inverse degree; Revan vertex degree; Harmonic polynomial.</Keywords> <URLs> <Abstract>https://ijesm.co.in/ubijournal-v1copy/journals/abstract.php?article_id=5759&title=HARMONIC POLYNOMIAL AND HARMONIC INDEX OF MOLECULAR GRAPH</Abstract> </URLs> <References> <ReferencesarticleTitle>References</ReferencesarticleTitle> <ReferencesfirstPage>16</ReferencesfirstPage> <ReferenceslastPage>19</ReferenceslastPage> <References/> </References> </Journal> </Article> </ArticleSet>