{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,8]],"date-time":"2024-07-08T04:43:10Z","timestamp":1720413790013},"reference-count":19,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","funder":[{"name":"National Research Foundation of South Africa","award":["126894"],"award-info":[{"award-number":["126894"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2020,8]]},"abstract":"<jats:p> Binary and [Formula: see text]-ary trees have extensive applications, particularly in computer science and chemistry. We present exact values of all important distance-based indices for complete [Formula: see text]-ary trees. We solve recurrence relations to obtain the value of the most well-known index called the Wiener index. New methods are used to express the other indices (the degree distance, the eccentric distance sum, the Gutman index, the edge-Wiener index, the hyper-Wiener index and the edge-hyper-Wiener index) as well. Values of distance-based indices for complete binary trees are corollaries of the main results. <\/jats:p>","DOI":"10.1142\/s179383092050041x","type":"journal-article","created":{"date-parts":[[2020,3,16]],"date-time":"2020-03-16T16:07:12Z","timestamp":1584374832000},"page":"2050041","source":"Crossref","is-referenced-by-count":0,"title":["Distance-based indices of complete m-ary trees"],"prefix":"10.1142","volume":"12","author":[{"given":"Mesfin","family":"Masre","sequence":"first","affiliation":[{"name":"Department of Mathematics, Addis Ababa University, Addis Ababa, Ethiopia"}]},{"given":"Samuel Asefa","family":"Fufa","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Addis Ababa University, Addis Ababa, Ethiopia"}]},{"given":"Tom\u00e1\u0161","family":"Vetr\u00edk","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Applied Mathematics, University of the Free State, Bloemfontein, South Africa"}]}],"member":"219","published-online":{"date-parts":[[2020,7,14]]},"reference":[{"key":"S179383092050041XBIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2018.04.051"},{"key":"S179383092050041XBIB002","first-page":"153","volume":"32","author":"Buckley F.","year":"1981","journal-title":"Congr. 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