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Title: Some conjectures and properties on distance energy
Authors: Caporossi, Gilles
Chasset, Emma
Furtula, Boris
Journal: Les Cahiers du GERAD
Issue Date: 2009
Abstract: The distance energy of a graph G is defined as \(ED(G) = \sum |\mu_i|\)|, where µi is the ith eigenvalue of the distance matrix of G. In this paper, we express the distance spectra and distance energy of complete split graphs and graphs composed of two cliques joined by a matching. We also give some spectral properties of complete multipartite graphs. Finally, we identify structural and numerical conjectures on ED for graphs with number of vertices n and number of edges m are fixed.
Type: article
Appears in Collections:Faculty of Science, Kragujevac

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