{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,11]],"date-time":"2024-07-11T00:25:42Z","timestamp":1720657542446},"reference-count":0,"publisher":"Combinatorial Press","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ars Comb."],"published-print":{"date-parts":[[2024,6,30]]},"abstract":"<jats:p>A chemical structure specifies the molecular geometry of a given molecule or solid in the form of atom arrangements. One way to analyze its properties is to simulate its formation as a product of two or more simpler graphs. In this article, we take this idea to find upper and lower bounds for the generalized Randi\u0107 index \\(\\mathcal{R}_{\\alpha}\\) of four types of graph products, using combinatorial inequalities. We finish this paper by providing the bounds for \\(\\mathcal{R}_{\\alpha}\\) of a line graph and rooted product of graphs.<\/jats:p>","DOI":"10.61091\/ars159-05","type":"journal-article","created":{"date-parts":[[2024,7,10]],"date-time":"2024-07-10T04:53:12Z","timestamp":1720587192000},"page":"41-50","source":"Crossref","is-referenced-by-count":0,"title":["Sharp Bounds for the General Randic Index of \\(R\\)-Graph Products"],"prefix":"10.61091","volume":"159","author":[{"given":"Xiujun","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"name":"School of Information Science and Engineering, Chengdu University,   Chengdu,  China","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad Aamer","family":"Rashid","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"name":"Key Laboratory of Pattern Recognition and Intelligent Information Processing Institutions of Higher Education of Sichuan Province, Chengdu University,Chengdu 610106, China","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"name":"Department of Mathematics, Comsats University Islamabad, Lahore Campus, Pakistan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"39747","published-online":{"date-parts":[[2024,6,30]]},"container-title":["Ars Combinatoria"],"original-title":[],"deposited":{"date-parts":[[2024,7,10]],"date-time":"2024-07-10T04:53:21Z","timestamp":1720587201000},"score":1,"resource":{"primary":{"URL":"https:\/\/combinatorialpress.com\/ars-articles\/volume-159\/sharp-bounds-for-the-general-randic-index-of-r-graph-products\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,6,30]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2024,6,30]]},"published-print":{"date-parts":[[2024,6,30]]}},"URL":"https:\/\/doi.org\/10.61091\/ars159-05","relation":{},"ISSN":["0381-7032","2817-5204"],"issn-type":[{"value":"0381-7032","type":"print"},{"value":"2817-5204","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,6,30]]}}}