Title of article
New upper bounds on the spectral radius of graphs
Author/Authors
kargar, Maryam Kerman Branch Islamic Azad university , Sistani, Tahereh Kerman Branch Islamic Azad university
Pages
14
From page
53
To page
66
Abstract
We employ the concept of average 2-degree of the vertices and, more generally, the number of walks between two vertices to introduce new upper and lower bounds for the spectral radius and the smallest eigenvalue of a graph. We, further, show how these bounds are better than previous bounds in some cases.
Keywords
eigenvalue , walk , 2-degree
Journal title
Journal of Mathematical Extension(IJME)
Serial Year
2020
Record number
2629752
Link To Document