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

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  • Wang, Wen-Huan
  • Xue, Yi-Sai

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.

Suggested Citation

  • Wang, Wen-Huan & Xue, Yi-Sai, 2019. "Extremal Estrada indices of the weighted trees with fixed total weight sum," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 32-41.
    • Handle: RePEc:eee:apmaco:v:354:y:2019:i:c:p:32-41
    DOI: 10.1016/j.amc.2019.02.019
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