Open AccessUpper bound for the energy of the starlike trees
Author(s) -
Rubí Arrizaga-Zercovich,
Luis Medina
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2090/1/012128
Subject(s) - upper and lower bounds , adjacency matrix , eigenvalues and eigenvectors , graph energy , combinatorics , mathematics , graph , energy (signal processing) , adjacency list , function (biology) , tree (set theory) , physics , mathematical analysis , graph power , statistics , quantum mechanics , line graph , evolutionary biology , biology
The energy graph was defined by Gutman, in 1978, as the sum of the absolute values of the eigenvalues of the adjacency matrix. In this work, we obtain a upper bound for the energy of a starlike tree. This bound is obtained in function of the number of vertices and the maximum degree of the vertices.