THE BOUNDS FOR THE LARGEST EIGENVALUES OF FIBONACCI-SUM AND LUCAS-SUM GRAPHS

THE BOUNDS FOR THE LARGEST EIGENVALUES OF FIBONACCI-SUM AND LUCAS-SUM GRAPHS

D. Taşçi, G. Ö. Kızılırmak, E. Sevgi, Ş. Büyükköse

[PDF]

Abstract

In this paper, we rst get the degree of each point in Lucas-sum graph based on Lucas numbers. After that, we obtain lower and upper bounds for the largest eigenvalues  and  of the adjacency matrices of Fibonacci-sum and Lucas-sum graphs, respectively.

Keywords

Fibonacci-sum graph, Lucas-sum graph, bounds, vertex degree.