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 mā‰„nāˆ’1ā‰„3. Among T(n,m), the weighted trees with the maximal and the second maximal Estrada indices are derived for mā‰„nāˆ’1ā‰„3 and mā‰„n+1ā‰„7, respectively.

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