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Öğe Note on the Distance Energy of Graphs(UNIV KRAGUJEVAC, FAC SCIENCE, 2010) Bozkurt, Ş. Burcu; Güngör, A. Dilek; Zhou, BoThe distance energy of a graph G is defined as the sum of the absolute values of the eigenvalues of the distance matrix of G. In this note, we obtain an upper bound for the:distance energy of any connected graph G. Specially, we present upper bounds for the distance energy of connected graphs of diameter 2 with given numbers of vertices and edges, and unicyclie graphs with odd girth. Additionally, we give also a lower bound for the distance energy of unicyclic graphs with odd girth.Öğe On Laplacian Energy(UNIV KRAGUJEVAC, FAC SCIENCE, 2013) Das, Kinkar Ch.; Gutman, Ivan; Cevik, A. Sinan; Zhou, BoLet G be a connected graph of order n with Laplacian eigenvalues mu(1) >= mu(2) >= ... >= mu(n-1) > mu(n) = 0. The Laplacian energy of the graph G is defined as LE = LE(G) = (n)Sigma(i=1)vertical bar mu(i)-2m/n vertical bar. Upper bounds for LE are obtained, in terms of n and the number of edges m.