{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T04:28:30Z","timestamp":1772252910636,"version":"3.50.1"},"reference-count":22,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2018,6,24]],"date-time":"2018-06-24T00:00:00Z","timestamp":1529798400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In the study of the quantitative structure\u2013activity relationship and quantitative structure-property relationships, the eccentric-connectivity index has a very important place among the other topological descriptors due to its high degree of predictability for pharmaceutical properties. In this paper, we compute the exact formulas of the eccentric-connectivity index and its corresponding polynomial, the total eccentric-connectivity index and its corresponding polynomial, the first Zagreb eccentricity index, the augmented eccentric-connectivity index, and the modified eccentric-connectivity index and its corresponding polynomial for a class of phosphorus containing dendrimers.<\/jats:p>","DOI":"10.3390\/sym10070237","type":"journal-article","created":{"date-parts":[[2018,6,25]],"date-time":"2018-06-25T11:03:25Z","timestamp":1529924605000},"page":"237","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":26,"title":["On Eccentricity-Based Topological Indices and Polynomials of Phosphorus-Containing Dendrimers"],"prefix":"10.3390","volume":"10","author":[{"given":"Shin Min","family":"Kang","sequence":"first","affiliation":[{"name":"Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 52828, Korea"},{"name":"Center for General Education, China Medical University, Taichung 40402, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1549-3584","authenticated-orcid":false,"given":"Zahid","family":"Iqbal","sequence":"additional","affiliation":[{"name":"School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad 44000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad","family":"Ishaq","sequence":"additional","affiliation":[{"name":"School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad 44000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rabia","family":"Sarfraz","sequence":"additional","affiliation":[{"name":"School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad 44000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Adnan","family":"Aslam","sequence":"additional","affiliation":[{"name":"University of Engineering and Technology, Lahore 54000, Pakistan (RCET)"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5488-0467","authenticated-orcid":false,"given":"Waqas","family":"Nazeer","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,6,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1701","DOI":"10.1039\/b005993p","article-title":"Light-harvesting dendrimers","volume":"33","author":"Adronov","year":"2000","journal-title":"Chem. 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