<?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 8,Issue 8</Volume-Issue> <PartNumber/> <IssueTopic>Multidisciplinary</IssueTopic> <IssueLanguage>English</IssueLanguage> <Season>August 2019</Season> <SpecialIssue>N</SpecialIssue> <SupplementaryIssue>N</SupplementaryIssue> <IssueOA>Y</IssueOA> <PubDate> <Year>2019</Year> <Month>08</Month> <Day>4</Day> </PubDate> <ArticleType>Engineering, Science and Mathematics</ArticleType> <ArticleTitle>INTER SECTION GRAPH OF FINITE ABELIAN GROUP AND SUB GROUPS OF FINITE GROUPS</ArticleTitle> <SubTitle/> <ArticleLanguage>English</ArticleLanguage> <ArticleOA>Y</ArticleOA> <FirstPage>1</FirstPage> <LastPage>19</LastPage> <AuthorList> <Author> <FirstName>1. S.DEVI LATHA</FirstName> <LastName>2.G.ROHITH</LastName> <AuthorLanguage>English</AuthorLanguage> <Affiliation/> <CorrespondingAuthor>N</CorrespondingAuthor> <ORCID/> </Author> </AuthorList> <DOI/> <Abstract>In a graph theory we have use basis of the group like abelian group and subgroup for intersection. An intersection containing a non- unit element .We characterize certain classes of subgroup intersection graphs corresponding to finite abelian groups. We check all its solvable groups whose intersection graphs are triangle-free. Surrounded the other results, we analysis all abelian groups whose intersection graphs are complete. Finally, we study the intersection graphs of cyclic groups.</Abstract> <AbstractLanguage>English</AbstractLanguage> <Keywords>Abelian group, Subgroup, Intersection graph, Trivial, vertex, Isolated, Frobenius, Kernal</Keywords> <URLs> <Abstract>https://ijesm.co.in/ubijournal-v1copy/journals/abstract.php?article_id=6327&title=INTER SECTION GRAPH OF FINITE ABELIAN GROUP AND SUB GROUPS OF FINITE GROUPS</Abstract> </URLs> <References> <ReferencesarticleTitle>References</ReferencesarticleTitle> <ReferencesfirstPage>16</ReferencesfirstPage> <ReferenceslastPage>19</ReferenceslastPage> <References/> </References> </Journal> </Article> </ArticleSet>