The A-spread of a graph

On A_\alpha–Eigenvalues of Graphs and Topological Indices

“…Detail about the A α -spectral radius can be found in [3,4,6,9,10,13,18,19,21,23,26,28,29,31,32,34]. For detail about the A α -spread, one may refer to [14,15]. Detail concerning the topological indices considered in this paper can be found in [2,11,20,33] and in the references therein.…”

On the spread of outerplanar graphs

“…We also note that spreads of other matrices associated with a graph have been considered extensively (e.g. [2,12,14,16,21,23,26,39,40,41]), but in this paper we will focus on the adjacency matrix. This paper examines the question of maximizing the spread of an n-vertex outerplanar graph.…”

On the sum of k largest distance eigenvalues of graphs

“…It is easy to see that A 0 (G) = A(G) and 2A 1/2 (G) = Q(G). The new matrix A α (G) not only can underpin a unified theory of A(G) and Q(G), but it also brings many new interesting problems, see for example [24,27,28,34,38]. This matrix has recently attracted the attention of many researchers, and there are several research papers published continually, see for example [8, 9, 19, 21, 23-28, 30-32, 34, 37, 38] and the references therein.…”