Title of article :
new bounds on the energy of a graph
Author/Authors :
shooshtary, hajar esfahan university of technology esfahan university of technology - department of mathematics, isfahan, iran , rodriguez, jonnathan universidad de antofagasta - facultad de ciencias, basicas - departamento de matematicas, antofagasta, chile
Abstract :
the energy of a graph 𝐺, denoted by 𝐸(𝐺), is defined as the sum of the absolute values of all eigenvalues of 𝐺. in this paper, lower and upper bounds for energy in some of the graphs are established, in terms of graph invariants such as the number of vertices, the number of edges, and the number of closed walks.
Keywords :
eigenvalue of graph , energy , spectral radius , the number of closed walks
Journal title :
Communications in Combinatorics and Optimization
Journal title :
Communications in Combinatorics and Optimization
