{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,13]],"date-time":"2026-10-13T22:33:04Z","timestamp":1791930784597,"version":"4.3.4"},"reference-count":70,"publisher":"MDPI AG","issue":"18","license":[{"start":{"date-parts":[[2023,9,14]],"date-time":"2023-09-14T00:00:00Z","timestamp":1694649600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Molecules"],"abstract":"<jats:p>Cycloarene molecules are benzene-ring-based polycyclic aromatic hydrocarbons that have been fused in a circular manner and are surrounded by carbon\u2013hydrogen bonds that point inward. Due to their magnetic, geometric, and electronic characteristics and superaromaticity, these polycyclic aromatics have received attention in a number of studies. The kekulene molecule is a cyclically organized benzene ring in the shape of a doughnut and is the very first example of such a conjugated macrocyclic compound. Due to its structural characteristics and molecular characterizations, it serves as a great model for theoretical research involving the investigation of \u03c0 electron conjugation circuits. Therefore, in order to unravel their novel electrical and molecular characteristics and foresee potential applications, the characterization of such components is crucial. In our current research, we describe two unique series of enormous polycyclic molecules made from the extensively studied base kekulene molecule, utilizing the essential graph-theoretical tools to identify their structural characterization via topological quantities. Rectangular kekulene Type-I and rectangular kekulene Type-II structures were obtained from base kekulene molecules arranged in a rectangular fashion. We also employ two subcases for each Type and, for all of these, we derived ten topological indices. We can investigate the physiochemical characteristics of rectangular kekulenes using these topological indices.<\/jats:p>","DOI":"10.3390\/molecules28186625","type":"journal-article","created":{"date-parts":[[2023,9,15]],"date-time":"2023-09-15T04:06:13Z","timestamp":1694750773000},"page":"6625","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Computational Analysis of Some More Rectangular Tessellations of Kekulenes and Their Molecular Characterizations"],"prefix":"10.3390","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1922-910X","authenticated-orcid":false,"given":"S.","family":"Prabhu","sequence":"first","affiliation":[{"name":"Department of Mathematics, Rajalakshmi Engineering College, Chennai 602105, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8557-1643","authenticated-orcid":false,"given":"M.","family":"Arulperumjothi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, St. Joseph\u2019s College of Engineering, Chennai 600119, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9916-2031","authenticated-orcid":false,"given":"Muhammad Usman","family":"Ghani","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Khawaja Fareed University of Engineering & Information Technology, Abu Dhabi Road, Rahim Yar Khan 64200, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2827-0462","authenticated-orcid":false,"given":"Muhammad","family":"Imran","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, United Arab Emirates University, Al Ain P.O. Box 15551, United Arab Emirates"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9028-3133","authenticated-orcid":false,"given":"S.","family":"Salu","sequence":"additional","affiliation":[{"name":"PG & Research Department of Mathematics, Sanatana Dharma College, Kerala University, Kerala 688003, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3404-3709","authenticated-orcid":false,"given":"Bibin K.","family":"Jose","sequence":"additional","affiliation":[{"name":"PG & Research Department of Mathematics, Sanatana Dharma College, Kerala University, Kerala 688003, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,9,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"B\u0105k, K.M., Marqes, I., Kuhn, H., Christensen, K., F\u00e9lix, V., and Beer, P.D. (2023). 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