Computation of Randić and Sum-Connectivity Indices for H3BO3 Layer Structure’s Derivatives

preprint OA: closed CC-BY-4.0
📄 Open PDF Full text JSON View at publisher
AI-generated summary by claude@2026-07+body, 2026-07-05

This paper applies mathematical and computational methods to calculate Randić and sum-connectivity indices for different structures of H3BO3.

One-sentence paraphrase of the abstract; not a substitute for reading it. No clinical advice. How this works

AI-generated deep summary by claude@2026-07, 2026-07-05 · read from full text

The paper computes mathematical topological descriptors—two variants of the Randić index and two variants of the sum-connectivity index—for graph models derived from an H3BO3 layer structure, specifically its subdivision nS(H3BO3), line graph L(H3BO3), and caged chain C(H3BO3). Using miscellaneous mathematical and computational methods, the authors report calculated values for these indices across the stated graph constructions. A stated caveat is that the work is a Research Square preprint that has not been peer reviewed by a journal. The paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

Read from the paper's body, not the abstract. Not a substitute for reading the paper. No clinical advice. How this works

Abstract

Chemical compounds have variety of physicochemical, toxicological and pharmacological properties which predict their nature and how they will react. But the study of these properties requires Herculean and laborious experimentation so its alternative, topological indices were invented about 150 years ago. In this research paper, miscellaneous mathematical and computational methods are applied for the calculation of two versions of Randić index and two versions of sum-connectivity index for the subdivision n S(H 3 BO 3 ), line graph L(H 3 BO 3 ) and caged chain C(H 3 BO 3 ) of H 3 BO 3 layer structure.
Full text 10,241 characters · extracted from preprint-html · click to expand
Computation of Randić and Sum-Connectivity Indices for H3BO3 Layer Structure’s Derivatives | 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 Computation of Randić and Sum-Connectivity Indices for H 3 BO 3 Layer Structure’s Derivatives Muhammad Hussain, Atiq ur Rehman, Mustafa Inc, Muhammad Sajid Iqbal, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2124344/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 compounds have variety of physicochemical, toxicological and pharmacological properties which predict their nature and how they will react. But the study of these properties requires Herculean and laborious experimentation so its alternative, topological indices were invented about 150 years ago. In this research paper, miscellaneous mathematical and computational methods are applied for the calculation of two versions of Randić index and two versions of sum-connectivity index for the subdivision n S(H 3 BO 3 ), line graph L(H 3 BO 3 ) and caged chain C(H 3 BO 3 ) of H 3 BO 3 layer structure. Topological Indices Randić Index Sum-Connectivity Index S(H3BO3) L(H3BO3) C(H3BO3). 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-2124344","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":143268720,"identity":"896adc1c-a8a2-4bac-b518-c7563aec88d3","order_by":0,"name":"Muhammad Hussain","email":"","orcid":"","institution":"COMSATS University Islamabad","correspondingAuthor":false,"prefix":"","firstName":"Muhammad","middleName":"","lastName":"Hussain","suffix":""},{"id":143268721,"identity":"174b955d-e763-47d2-bf18-fbd324229c50","order_by":1,"name":"Atiq ur Rehman","email":"","orcid":"","institution":"COMSATS University Islamabad","correspondingAuthor":false,"prefix":"","firstName":"Atiq","middleName":"ur","lastName":"Rehman","suffix":""},{"id":143268722,"identity":"0811a1a0-ec01-4cf6-84ca-dc1c89e92986","order_by":2,"name":"Mustafa Inc","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAuUlEQVRIiWNgGAWjYDACZiD+YCMB4fAQq4VxRhpQCxtEiwRxunjSGEjQotvOe/CzTYJFPv/8BsYHb9sY6swbCGgxO8yXLJ2TIGE54xgDs+HcNgYJmQMEtfCYMef+kDBgOMbAJs0L1ELQZWAtFgkSBvLHGNh/E6+FAajFAGgLM7FajCV7gFoMjyU2S845JyE5g6CW82cMP/xIqDOQO3z44Ic3ZTb8xEUMBDA2MBAbk6NgFIyCUTAKCAAASNcwTe/7HmAAAAAASUVORK5CYII=","orcid":"","institution":"Firat University","correspondingAuthor":true,"prefix":"","firstName":"Mustafa","middleName":"","lastName":"Inc","suffix":""},{"id":143268723,"identity":"22e9d881-a0a9-4708-b687-693bf897ce2b","order_by":3,"name":"Muhammad Sajid Iqbal","email":"","orcid":"","institution":"National University of Science and technology","correspondingAuthor":false,"prefix":"","firstName":"Muhammad","middleName":"Sajid","lastName":"Iqbal","suffix":""},{"id":143268724,"identity":"53ed389e-9b0b-45af-9dac-7bbc0534ffc5","order_by":4,"name":"Alizeh Muhammad","email":"","orcid":"","institution":"COMSATS University Islamabad","correspondingAuthor":false,"prefix":"","firstName":"Alizeh","middleName":"","lastName":"Muhammad","suffix":""}],"badges":[],"createdAt":"2022-10-01 20:44:10","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-2124344/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2124344/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":29621294,"identity":"9ff6bf34-e493-4129-ae53-1c5e11945ba7","added_by":"auto","created_at":"2022-11-28 23:14:32","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":538412,"visible":true,"origin":"","legend":"","description":"","filename":"H3BO3.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2124344/v1_covered.pdf"},{"id":27735969,"identity":"36000c28-2e79-4970-b4fc-1649c69b7e3e","added_by":"auto","created_at":"2022-10-13 15:21:58","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":532729,"visible":true,"origin":"","legend":"","description":"","filename":"H3BO3.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2124344/v1_covered.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"\u003cp\u003eComputation of Randić and Sum-Connectivity Indices for H\u003csub\u003e3\u003c/sub\u003eBO\u003csub\u003e3\u003c/sub\u003e Layer Structure’s Derivatives\u003c/p\u003e","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-2124344/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."}],"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":false,"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":"Topological Indices, Randić Index, Sum-Connectivity Index, S(H3BO3), L(H3BO3), C(H3BO3).","lastPublishedDoi":"10.21203/rs.3.rs-2124344/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-2124344/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eChemical compounds have variety of physicochemical, toxicological and pharmacological properties which predict their nature and how they will react. But the study of these properties requires Herculean and laborious experimentation so its alternative, topological indices were invented about 150 years ago. In this research paper, miscellaneous mathematical and computational methods are applied for the calculation of two versions of Randić index and two versions of sum-connectivity index for the subdivision n S(H\u003csub\u003e3\u003c/sub\u003eBO\u003csub\u003e3\u003c/sub\u003e), line graph L(H\u003csub\u003e3\u003c/sub\u003eBO\u003csub\u003e3\u003c/sub\u003e) and caged chain C(H\u003csub\u003e3\u003c/sub\u003eBO\u003csub\u003e3\u003c/sub\u003e) of H\u003csub\u003e3\u003c/sub\u003eBO\u003csub\u003e3\u003c/sub\u003e layer structure.\u003c/p\u003e","manuscriptTitle":"Computation of Randić and Sum-Connectivity Indices for H3BO3 Layer Structure’s Derivatives","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2022-10-13 15:21:51","doi":"10.21203/rs.3.rs-2124344/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"25133bee-cc3b-4a10-b88c-1487ab007ba2","owner":[],"postedDate":"October 13th, 2022","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2022-11-28T23:14:22+00:00","versionOfRecord":[],"versionCreatedAt":"2022-10-13 15:21:51","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-2124344","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-2124344","identity":"rs-2124344","version":["v1"]},"buildId":"J0_U0BvcaRcwD8yVFaRlm","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}

Text is read by the "Ask this paper" AI Q&A widget below. Extraction quality varies by source — PMC NXML preserves structure cleanly, OA-HTML may include some navigation residue, and OA-PDF can have broken hyphenation. The publisher copy (via DOI) is the canonical version.

My notes (saved in your browser only)

Ask this paper AI returns verbatim quotes from the full text · source: preprint-html

Answers must be backed by verbatim quotes from this paper's full text. Hallucinated quotes are dropped automatically; if no verbatim passage answers the question, we say so. How this works

Citation neighborhood (no data yet)

We don't have any in-corpus citations linked to this paper yet. The paper's references may be in our DB but unresolved to ``paper_id`` (resolution happens at ingest when the cited DOI matches a row we already have). Run the cross-source citation reconcile pass to retry.

Source provenance

europepmc
last seen: 2026-05-19T01:45:01.086888+00:00
unpaywall
last seen: 2026-05-29T02:00:03.542394+00:00
License: CC-BY-4.0