
Summary: Let \(G\) be a graph with \(n\) vertices. The PI-Estrada index of \(G\) is an invariant that is calculated from the eigenvalues of the vertex-PI matrix of \(G\). The main purpose of this paper is to establish upper and lower bounds for the PI-Estrada index of a graph in terms of the number of vertices, edges, triangles and pendant vertices.
Distance in graphs, Graphs and linear algebra (matrices, eigenvalues, etc.), PI-energy, pi matrix, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), pi-estrada index, QA1-939, PI-Estrada index, pi-energy, Mathematics, PI matrix
Distance in graphs, Graphs and linear algebra (matrices, eigenvalues, etc.), PI-energy, pi matrix, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), pi-estrada index, QA1-939, PI-Estrada index, pi-energy, Mathematics, PI matrix
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