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„nā1ā„3. Among T(n,m), the weighted trees with the maximal and the second maximal Estrada indices are derived for mā„nā1ā„3 and mā„n+1ā„7, respectively.
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