Abstract
Let λ 1 ≥ λ 2 ≥ ··· ≥ λ n be the eigenvalues of the adjacency matrix of a simple graph G of order n. A graph-spectrum-based invariant, put forward by Gutman et al. [Resolvent energy of graphs, MATCH Commun. Math. Comput. Chem. 75 (2016) 279–290], is defined as [Formula presented]. In the same paper the authors proposed several conjectures. In this paper we partially prove two conjectures.
| Original language | English |
|---|---|
| Pages (from-to) | 453-464 |
| Number of pages | 12 |
| Journal | Match |
| Volume | 81 |
| Issue number | 2 |
| State | Published - 2019 |