Abstract

The resolvent Estrada index is an interesting issue of computational chemistry. It was conjectured by Gutman et al. that among all trees of order n, n ≤ l, the tree Pn(l) has the l-th minimal resolvent Estrada index, for l ≥ 2. In this paper, we calculate minimal resolvent Estrada indices of trees by computer search, and we obtained all trees of order up to 22 with 4th-minimal up to 27th-minimal resolvent Estrada indices. This confirms the above conjecture stated by Gutman et al. for all trees with order up to 22.

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