Degree and eccentricity based topological indices of some Benzophenone derivatives and their applications

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Abstract Chemical graph theory is the application of discrete mathematics to chemistry applied to model, physical and biological properties of chemical compounds. Various topological indices which are derived from graph theory can model the geometric structure of chemical compounds. Several of these topological indices are used to construct boiling point models for alkanes with 1-12 carbon atoms. The models are used to predict the boiling points of a set of alkanes with 13-22 carbon atoms. Similarly, melting point models are considered for a family of alkanes having 10-20 carbon atoms and only one methyl group. Methyl-substituted alkanes such as these are especially important in the production of diesel and jet fuels since they enable a lower pour point for the resulting synthetic fuels. All models produced in this manner may be used to predict physical properties of compounds for which no experimental data exist. In this paper we found predicted melting point of benzophenone derivatives.
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Degree and eccentricity based topological indices of some Benzophenone derivatives and their applications | 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 Degree and eccentricity based topological indices of some Benzophenone derivatives and their applications Puttaswamy Padmapriya, Shivashankar Pooja, Rajeev Vidya Gokul, and 3 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5471622/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 Chemical graph theory is the application of discrete mathematics to chemistry applied to model, physical and biological properties of chemical compounds. Various topological indices which are derived from graph theory can model the geometric structure of chemical compounds. Several of these topological indices are used to construct boiling point models for alkanes with 1-12 carbon atoms. The models are used to predict the boiling points of a set of alkanes with 13-22 carbon atoms. Similarly, melting point models are considered for a family of alkanes having 10-20 carbon atoms and only one methyl group. Methyl-substituted alkanes such as these are especially important in the production of diesel and jet fuels since they enable a lower pour point for the resulting synthetic fuels. All models produced in this manner may be used to predict physical properties of compounds for which no experimental data exist. In this paper we found predicted melting point of benzophenone derivatives. Degree eccentricity Zagreb index molecular graph 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. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-5471622","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":402133713,"identity":"862001a9-cfbd-46f7-91a5-5ca2694483b2","order_by":0,"name":"Puttaswamy Padmapriya","email":"","orcid":"","institution":"Vidyavardaka College of Engineering","correspondingAuthor":false,"prefix":"","firstName":"Puttaswamy","middleName":"","lastName":"Padmapriya","suffix":""},{"id":402133714,"identity":"e59612c6-9106-4d68-a066-42480f75328b","order_by":1,"name":"Shivashankar Pooja","email":"","orcid":"","institution":"St. Philomena's College","correspondingAuthor":false,"prefix":"","firstName":"Shivashankar","middleName":"","lastName":"Pooja","suffix":""},{"id":402133715,"identity":"615c173a-4d4c-41fa-9e22-d4b33eb95a7e","order_by":2,"name":"Rajeev Vidya Gokul","email":"","orcid":"","institution":"St. Philomena's College","correspondingAuthor":false,"prefix":"","firstName":"Rajeev","middleName":"Vidya","lastName":"Gokul","suffix":""},{"id":402133716,"identity":"3eb3fa04-cad0-4679-9934-5a4b0948970d","order_by":3,"name":"Madanahalli Ankanathappa Sangamesha","email":"","orcid":"","institution":"The National Institute of Engineering","correspondingAuthor":false,"prefix":"","firstName":"Madanahalli","middleName":"Ankanathappa","lastName":"Sangamesha","suffix":""},{"id":402133717,"identity":"4165f093-f645-4f63-a673-409a06c736b0","order_by":4,"name":"Lakshmi Ranganatha Venkataravanappa","email":"","orcid":"","institution":"The National Institute of Engineering","correspondingAuthor":false,"prefix":"","firstName":"Lakshmi","middleName":"Ranganatha","lastName":"Venkataravanappa","suffix":""},{"id":402133718,"identity":"09e88c14-5dcc-4b70-b934-3848175a053d","order_by":5,"name":"Ismail Naci Cangul","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA2klEQVRIiWNgGAWjYNCCAhsGPgYGAxCTsYE4LQZpDGwILcxEaTlMghb+9rOHX/MYnE9sk0je+PELg43shgP8xz7g0yJxJi/NmsfgNlBLWrG0DEOa8YYDzMwz8DqJIcfMGKIlx0BaguFwIkgLfl/wvwFpOQfSYvxbguE/EVqAKh/zGBwAaTGT/MBwgLAWiRtvzBjnGCQbt/E8K7NmADJmHmY2xquFvz/H+MObCjvZfvbkzTd/ABl9xxsf49UCBGwSMBYzDyhqiIhJZngsMP4grHoUjIJRMApGIAAA6LRDsrFudVwAAAAASUVORK5CYII=","orcid":"","institution":"Bursa Uludağ University","correspondingAuthor":true,"prefix":"","firstName":"Ismail","middleName":"Naci","lastName":"Cangul","suffix":""}],"badges":[],"createdAt":"2024-11-17 21:53:20","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5471622/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5471622/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":73981203,"identity":"f0ce941b-a411-47ed-8853-6432e1df8098","added_by":"auto","created_at":"2025-01-16 15:09:13","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":689188,"visible":true,"origin":"","legend":"","description":"","filename":"20241219revision.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5471622/v1_covered_35e5e0bb-0b3f-4354-b32c-ab484aaa0d5d.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Degree and eccentricity based topological indices of some Benzophenone derivatives and their applications","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"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":"[email protected]","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":"Degree, eccentricity, Zagreb index, molecular graph","lastPublishedDoi":"10.21203/rs.3.rs-5471622/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5471622/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Chemical graph theory is the application of discrete mathematics to chemistry applied to model, physical and biological properties of chemical compounds. 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