| Authors: | Stevanović, Dragan Milošević, Marko Híc, Pavel Pokorný, Milan |
Title: | Proof of a conjecture on distance energy of complete multipartite graphs | Journal: | Match | Volume: | 70 | Issue: | 1 | First page: | 157 | Last page: | 162 | Issue Date: | 1-Dec-2013 | Rank: | M21a | ISSN: | 0340-6253 | Abstract: | Caporossi, Chasser and Furtula in [Les Cahiers du GERAD (2009), G-2009-64] derived certain spectral properties of the distance matrix of complete multipartite graphs, and conjectured that the distance energy of a complete multipartite graph on n vertices having γ parts, each of size at least two, is equal to 4(n-γ). We prove this conjecture. |
Publisher: | Faculty of Sciences, University of Kragujevac | Project: | Graph theory and mathematical programming with applications in chemistry and computer science Slovenian Research Agency, research grants P1-0285 and J1-4021 |
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