Mukwembi, SimonVetrik, Tomas2014-07-152014-06Mukwembi, S & Vetrík, T 2014, 'Wiener index of trees of given order and diameter at most 6', Bulletin of the Australian Mathematical Society, vol. 89, no. 3, pp. 379-396.0004-9727 (print)1755-1633 (online)10.1017/S0004972713000816http://hdl.handle.net/2263/40746The long-standing open problem of nding an upper bound for the Wiener index of a graph in terms of its order and diameter is addressed. Sharp upper bounds are presented for the Wiener index, and the related degree distance and Gutman index, for trees of order n and diameter at most 6.en© 2013 Australian Mathematical Publishing Association Inc.Wiener indexDegree distanceGutman indexTreeDiameterArticle