Extremal Estrada indices of the weighted trees with fixed total weight sum

Wen-Huan Wang and Yi-Sai Xue

Applied Mathematics and Computation, 2019, vol. 354, issue C, 32-41

Abstract: Let T(n,m) be the set of positively weighted trees of order n with the fixed total weight sum m, where all the weights are integers and m≥n−1≥3. Among T(n,m), the weighted trees with the maximal and the second maximal Estrada indices are derived for m≥n−1≥3 and m≥n+1≥7, respectively.

Keywords: Estrada index; Weighted graph; Tree (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:354:y:2019:i:c:p:32-41

DOI: 10.1016/j.amc.2019.02.019

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