ON THE Aα SPECTRAL RADIUS AND Aα ENERGY OF NON-STRONGLY CONNECTED DIGRAPHS.

Autor: XIUWEN YANG, LIGONG WANG, WEIGE XI
Předmět:
Zdroj: Operators & Matrices; 2024, Vol. 18 Issue 2, p319-333, 15p
Abstrakt: Let Aα(G) be the Aα-matrix of a digraph G and λα1,α2…,λαn be the eigenvalues of Aα(G). Let ρλ(G) be the Aλ spectral radius of G and Eλ(G) = Σi=1nλαi² be the Aα energy of G by using second spectral moment. Let Gnm be the set of non-strongly connected digraphs with n vertices containing a unique strong component with m vertices and some directed trees hanging on each vertex of the strong component. In this paper, we characterize the digraph which has the maximal Aα spectral radius and the maximal (or minimal) Aα energy in Gnm. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index