On the spectrum of an extremal graph with four eigenvalues |
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| Authors: | M.A. Fiol |
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| Affiliation: | Departament de Matemàtica Aplicada IV, Universitat Politècnica de Catalunya, Jord Girona, 1-3 , Mòdul C3, Campus Nord, 08034 Barcelona, Spain |
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| Abstract: | In this note we study some properties of the spectrum of a connected graph G with four different eigenvalues, and (spectrally maximum) diameter three. When G is regular, this is the case, for instance, when G is a distance-regular graph. |
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| Keywords: | Graph Adjacency matrix Four eigenvalues Diameter three |
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