{"paper_id":"0660ca78-67f1-4d8d-b7ec-4c1f84bccd52","body_text":"Characterisation of distance based topological descriptors for certain butterfly networks | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Characterisation of distance based topological descriptors for certain butterfly networks Eddith Sarah Varghese, D Antony Xavier, Annmaria Baby This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4006777/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Interconnection networks are networks that portray structure of a system using vertices and edges. In order to determine the architecture of networks, topological indices are used in the study of QSPR/ QSAR. Topological indices are numerical quantities derived from chemical structures to predict the biochemical activities and physical, chemical and biological properties of compounds. In this article, we determine the analytical expressions for Szeged index, edge Szeged index, edge-vertex Szeged index and Padmakar Ivan index of Butterfly network and Augumented butterfly network. Augmented butterfly network Wiener index Szeged index Edge szeged index Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {\"props\":{\"pageProps\":{\"initialData\":{\"identity\":\"rs-4006777\",\"acceptedTermsAndConditions\":true,\"allowDirectSubmit\":true,\"archivedVersions\":[],\"articleType\":\"Research Article\",\"associatedPublications\":[],\"authors\":[{\"id\":276334219,\"identity\":\"6b0485d7-7e03-46e7-801d-3be46ef3db48\",\"order_by\":0,\"name\":\"Eddith Sarah Varghese\",\"email\":\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAzUlEQVRIiWNgGAWjYFCCBIMDjA0MDPxgdgGxWg4CtUg2gNlEamEAaTE4AOIQo4WfPXnj4Y876hI3n1+d+OGBAYM8v9gB/Foke54VHDh45nDithtvN0sAbTScOTsBvxaDGzlAv7QdMDa7cXYDSEuCwW0CWuwhWuqMjWec3fyDKC0GEmAtzHIG/L3biLNF4gzQL2fbDstJ3ODdZpFgIEHYL/ztyZs/VLbV8fD3n91880eFjTy/NAEtSPaBVUoQqxxs3wFSVI+CUTAKRsFIAgBAZU1mMPFFTAAAAABJRU5ErkJggg==\",\"orcid\":\"\",\"institution\":\"Loyola College, Affiliated to the University of Madras\",\"correspondingAuthor\":true,\"prefix\":\"\",\"firstName\":\"Eddith\",\"middleName\":\"Sarah\",\"lastName\":\"Varghese\",\"suffix\":\"\"},{\"id\":276334220,\"identity\":\"cf397ca9-f16e-437d-810b-5ca0b1ecf5ad\",\"order_by\":1,\"name\":\"D Antony Xavier\",\"email\":\"\",\"orcid\":\"\",\"institution\":\"Loyola College, Affiliated to the University of Madras\",\"correspondingAuthor\":false,\"prefix\":\"\",\"firstName\":\"D\",\"middleName\":\"Antony\",\"lastName\":\"Xavier\",\"suffix\":\"\"},{\"id\":276334221,\"identity\":\"aaee85c8-79a5-4ec2-8378-da2af81bd8c5\",\"order_by\":2,\"name\":\"Annmaria Baby\",\"email\":\"\",\"orcid\":\"\",\"institution\":\"Loyola College, Affiliated to the University of Madras\",\"correspondingAuthor\":false,\"prefix\":\"\",\"firstName\":\"Annmaria\",\"middleName\":\"\",\"lastName\":\"Baby\",\"suffix\":\"\"}],\"badges\":[],\"createdAt\":\"2024-03-02 15:44:59\",\"currentVersionCode\":1,\"declarations\":\"\",\"doi\":\"10.21203/rs.3.rs-4006777/v1\",\"doiUrl\":\"https://doi.org/10.21203/rs.3.rs-4006777/v1\",\"draftVersion\":[],\"editorialEvents\":[],\"editorialNote\":\"\",\"failedWorkflow\":false,\"files\":[{\"id\":52062509,\"identity\":\"83c72753-2af8-44c7-97a0-394c02977812\",\"added_by\":\"auto\",\"created_at\":\"2024-03-06 05:50:48\",\"extension\":\"pdf\",\"order_by\":1,\"title\":\"\",\"display\":\"\",\"copyAsset\":false,\"role\":\"manuscript-pdf\",\"size\":244450,\"visible\":true,\"origin\":\"\",\"legend\":\"\",\"description\":\"\",\"filename\":\"butterflyver2.pdf\",\"url\":\"https://assets-eu.researchsquare.com/files/rs-4006777/v1_covered_41c11afb-215d-4bd2-b537-dffbf951cb6c.pdf\"}],\"financialInterests\":\"No competing interests reported.\",\"formattedTitle\":\"Characterisation of distance based topological descriptors for certain butterfly networks\",\"fulltext\":[],\"fulltextSource\":\"\",\"fullText\":\"\",\"funders\":[],\"hasAdminPriorityOnWorkflow\":false,\"hasManuscriptDocX\":false,\"hasOptedInToPreprint\":true,\"hasPassedJournalQc\":\"\",\"hasAnyPriority\":true,\"hideJournal\":true,\"highlight\":\"\",\"institution\":\"\",\"isAcceptedByJournal\":false,\"isAuthorSuppliedPdf\":true,\"isDeskRejected\":\"\",\"isHiddenFromSearch\":false,\"isInQc\":false,\"isInWorkflow\":false,\"isPdf\":true,\"isPdfUpToDate\":true,\"isWithdrawnOrRetracted\":false,\"journal\":{\"display\":true,\"email\":\"info@researchsquare.com\",\"identity\":\"researchsquare\",\"isNatureJournal\":false,\"hasQc\":true,\"allowDirectSubmit\":true,\"externalIdentity\":\"\",\"sideBox\":\"\",\"snPcode\":\"\",\"submissionUrl\":\"/submission\",\"title\":\"Research Square\",\"twitterHandle\":\"researchsquare\",\"acdcEnabled\":true,\"dfaEnabled\":false,\"editorialSystem\":\"\",\"reportingPortfolio\":\"\",\"inReviewEnabled\":false,\"inReviewRevisionsEnabled\":true},\"keywords\":\"Augmented butterfly network, Wiener index, Szeged index, Edge szeged index\",\"lastPublishedDoi\":\"10.21203/rs.3.rs-4006777/v1\",\"lastPublishedDoiUrl\":\"https://doi.org/10.21203/rs.3.rs-4006777/v1\",\"license\":{\"name\":\"CC BY 4.0\",\"url\":\"https://creativecommons.org/licenses/by/4.0/\"},\"manuscriptAbstract\":\"Interconnection networks are networks that portray structure of a system using vertices and edges. 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