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3. Large sets of long distance equienergetic graphsDragan Stevanović, 2009, original scientific article Abstract: Distance energy of a graph is a recent energy-type invariant, defined as the absolute deviation of the eigenvalues of the distance matrix of the graph. Two graphs of the same order are said to be distance equienergetic if they have equal distance energy, while they have distinct spectra of their distance matrices. Examples of pairs of distance equienergetic graphs appear in the literature already, but most of them have diameter two only. We describe here the distance spectrum of a special composition of regular graphs, and, as an application, we show that for any ▫$n \ge 3$▫, there exists a set of ▫$n + 1$▫ distance equienergetic graphs which have order ▫$6n$▫ and diameter ▫$n - 1$▫ each. Found in: osebi Keywords: graph theory, distance spectrum, distance energy, join, regular graphs Published: 15.10.2013; Views: 1539; Downloads: 70 Full text (0,00 KB) |
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8. LEL-a Newly Designed Molecular DescriptorDragan Stevanović, Aleksandar Ilić, Cristina Onişor, Mircea V. Diudea, 2009, original scientific article Found in: osebi Keywords: topological indices, QSPR, QSAR, octanes, polycyclic aromatic hydrocarbons Published: 15.10.2013; Views: 2421; Downloads: 13 Full text (0,00 KB) |
9. A spectral proof of the uniqueness of a strongly regular graph with parameters (81, 20, 1, 6)Dragan Stevanović, Marko Milošević, 2009, original scientific article Abstract: We give a new proof that there exists a unique strongly regular graph with parameters (81, 20, 1, 6). Unlike the finite geometry approach used by Brouwerand haemers, we use linear algebra and spectral graph theory concepts, namely the technique of star complements, in our proof. Found in: osebi Keywords: graph theory Published: 15.10.2013; Views: 1388; Downloads: 10 Full text (0,00 KB) |
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