1. Exploring the bounds and relationships of chemical graph indices : master's thesisArbër Avdullahu, 2023, master's thesis Keywords: energy of a graph, Randić index, first Zagreb index, IRB index, extremal graph, spectrum, eigenvalue, metaheuristic Published in RUP: 05.10.2023; Views: 322; Downloads: 2 Full text (1,02 MB) |
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5. Connected graphs of fixed order and size with minimal index : structural considerationsSlobodan Simić, Enzo M. Li Marzi, Francesco Belardo, 2004, original scientific article Keywords: spekter grafa, največja lastna vrednost, spektralni radij, indeks grafa, graph spectrum, largest eingenvalue, spectral radius, graph index, nested split graphs Published in RUP: 15.10.2015; Views: 3096; Downloads: 60 Link to full text |
6. 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. Keywords: graph theory, distance spectrum, distance energy, join, regular graphs Published in RUP: 15.10.2013; Views: 3471; Downloads: 136 Full text (144,63 KB) |