Abstract
A set of arithmetical invariants for each vertex of a graph was defined in [1]. In this paper these invariants are expressed by the eigenvalues and eigenvectors of the graph.
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References
L.Ja. Beresina, Applications of the theory of surfaces to the theory of graphs, Lecture Notes in Math., 792, Springer (1980), 20–23.
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Beresina, L.J. The normal curvatures of a graph. J Geom 18, 54–56 (1982). https://doi.org/10.1007/BF01947638
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DOI: https://doi.org/10.1007/BF01947638