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1.
On a version of the spectral excess theorem
Miquel Àngel Fiol, Safet Penjić, 2020, original scientific article

Keywords: adjacency algebra, spectrum, distance-regular graph, Laplacian
Published in RUP: 02.12.2020; Views: 1617; Downloads: 35
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On distance integral graphs
Milan Pokorný, Pavel Híc, Dragan Stevanović, Marko Milošević, 2015, original scientific article

Keywords: distance spectrum, distance integral graph, tree, complete split graph
Published in RUP: 03.04.2017; Views: 2424; Downloads: 140
URL Link to full text

4.
Large sets of long distance equienergetic graphs
Dragan 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.
Keywords: graph theory, distance spectrum, distance energy, join, regular graphs
Published in RUP: 15.10.2013; Views: 3469; Downloads: 136
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