University of KashanMathematics Interdisciplinary Research2538-36393120180601Average Degree-Eccentricity Energy of Graphs45545815110.22052/mir.2018.119231.1090ENIvanGutmanUniversity Kragujevac, SerbiaVeenaMathadDepartment of Mathematics
University of Mysore
Mysuru, IndiaShadi IbrahimKhalafDepartment of Studies in Mathematics, Faculty of Science and Technology Manasagangotri, University of Mysore, Mysore, India.Sultan SenanMahdeDepartment of Mathematics
University of Mysore
Mysuru, IndiaJournal Article20180213The 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.http://mir.kashanu.ac.ir/article_58151_eb67720f549533f36704dc856f78cde5.pdf