The Merrifield-Simmons Index of Two Classes of Silicate Molecular Graphs

The Merrifield-Simmons Index of Two Classes of Silicate Molecular Graphs | 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 The Merrifield-Simmons Index of Two Classes of Silicate Molecular Graphs Hailiang Zhang, Lu Liu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4348761/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 Graph theory is of great use in modeling chemistry structures. In chemistry and physics, the silicate are the largest, the most interesting and the most completed class of minerals, and are the component of the common rock-forming minerals. The tetrahedron SiO4 is fundamental unit of silicates. The corner vertices are oxygen atoms and the center atom is the silicon atom. In this paper, we compute the Merrifield-Simmons index of two classes of silicate molecular graphs. We also show that these two classed molecular have the same independence entropy. The difference of matching entropy and the independence entropy is (log 2)/3. 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-4348761","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":298225260,"identity":"b82c0f47-1b0d-4d2a-8c07-b69ba31cea79","order_by":0,"name":"Hailiang Zhang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAq0lEQVRIiWNgGAWjYBACA4YEBgnGBgs5Nvb2AyRpkTDm4zmTQJqWxHkSDgbEaTFnT3948+cOifQ2CaDmHxXbCGux7HljbCF5RiK3TbrxAGPPmdtEOOxGDpuEYRtQi8yBBGbGNqK0pD+TSGyTSGeTSDAgVkuCmcTBNokEErSceWNs2dgGdBswkA8S55fjoBBrs5GXb28/+OBHBRFaUMABEtWPglEwCkbBKMAFAFaDPCkr4vv5AAAAAElFTkSuQmCC","orcid":"","institution":"Taizhou University","correspondingAuthor":true,"prefix":"","firstName":"Hailiang","middleName":"","lastName":"Zhang","suffix":""},{"id":298225261,"identity":"f52339a5-9916-4cdf-a743-c6e5e291c4e1","order_by":1,"name":"Lu Liu","email":"","orcid":"","institution":"Jinzhou Medical University","correspondingAuthor":false,"prefix":"","firstName":"Lu","middleName":"","lastName":"Liu","suffix":""}],"badges":[],"createdAt":"2024-04-30 11:37:44","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4348761/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4348761/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":56188051,"identity":"697596aa-e87c-4611-b520-c245b79939b0","added_by":"auto","created_at":"2024-05-09 15:57:06","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":246204,"visible":true,"origin":"","legend":"","description":"","filename":"MSindex.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4348761/v1_covered_bdd7d1db-37d4-4ce9-9afd-54d7f8e985b6.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"The Merrifield-Simmons Index of Two Classes of Silicate Molecular Graphs","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":"","lastPublishedDoi":"10.21203/rs.3.rs-4348761/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4348761/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Graph theory is of great use in modeling chemistry structures. 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