TY - JOUR
ID - 58151
TI - Average Degree-Eccentricity Energy of Graphs
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Gutman, Ivan
AU - Mathad, Veena
AU - Khalaf, Shadi Ibrahim
AU - Mahde, Sultan Senan
AD - University Kragujevac, Serbia
AD - Department of Mathematics
University of Mysore
Mysuru, India
AD - Department of Studies in Mathematics, Faculty of Science and Technology Manasagangotri, University of Mysore, Mysore, India.
Y1 - 2018
PY - 2018
VL - 3
IS - 1
SP - 45
EP - 54
KW - Average degree-eccentricity matrix
KW - average degree-eccentricity eigenvalue
KW - average degree-eccentricity energy
DO - 10.22052/mir.2018.119231.1090
N2 - The concept of average degree-eccentricity matrix ADE(G) of a connected graph $G$ is introduced. Some coefficients of the characteristic polynomial of ADE(G) are obtained, as well as a bound for the eigenvalues of ADE(G). We also introduce the average degree-eccentricity graph energy and establish bounds for it.
UR - http://mir.kashanu.ac.ir/article_58151.html
L1 - http://mir.kashanu.ac.ir/article_58151_eb67720f549533f36704dc856f78cde5.pdf
ER -