Eccentricity energy change of complete multipartite graphs due to edge deletion

Abstract The eccentricity matrix ? ( G ) of a graph is obtained from the distance by retaining largest distances in each row and column, leaving zeros remaining ones. energy sum absolute values eigenvalues ). Although matrices graphs are closely related to graphs, number properties substantially different those matrices. change due an edge deletion one such property. In this article, we give examples for which increase (resp., decrease) but decrease increase) deletion. Also, prove that complete k -partite K n 1, ... , nk with ? 2 i 2, increases