University of KashanMathematics Interdisciplinary Research2538-36392220171201On Eccentricity Version of Laplacian Energy of a Graph1311394666510.22052/mir.2017.70534.1051ENNilanjan DeDepartment of Basic Sciences and Humanities (Mathematics),
Calcutta Institute of Engineering and Management,
Kolkata, West Bengal,
IndiaJournal Article20161217The energy of a graph <em>G</em> is equal to the sum of absolute values of the eigenvalues of the adjacency matrix of <em>G</em>, whereas the Laplacian energy of a graph <em>G</em> is equal to the sum of the absolute value of the difference between the eigenvalues of the Laplacian matrix of <em>G</em> and the average degree of the vertices of <em>G</em>. Motivated by the work from Sharafdini and Panahbar [R. Sharafdini, H. Panahbar, Vertex weighted Laplacian graph energy and other topological indices. J. Math. Nanosci. 2016, 6, 57-65], in this paper we investigate the eccentricity version of Laplacian energy of a graph <em>G</em>.https://mir.kashanu.ac.ir/article_46665_5d4ef03c2a66934ca736a18abb23be5f.pdf