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1 results

WIENER INDEX OF TREES OF GIVEN ORDER AND DIAMETER AT MOST $6$
Part of
- Graph theory
SIMON MUKWEMBI, TOMÁŠ VETRÍK
Journal:

Bulletin of the Australian Mathematical Society / Volume 89 / Issue 3 / June 2014

Published online by Cambridge University Press:

19 September 2013, pp. 379-396

Print publication:

June 2014
- Article
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The long-standing open problem of finding 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 $6$.