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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
J.M. Miret
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Electrical & Electronics Engineering

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Spectral properties of mixed radial Moore graphs J.M. Ceresuela; Cristina Dalfó; M.A. Fiol; Nacho López; J.M. Miret
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 14, No 2 (2026): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2026.14.2.12

Abstract

The pioneering study of Moore graphs by Hoffman and Singleton exploits the properties of the eigenvalues of the adjacency matrix of graphs. Radial Moore graphs are extremal graphs related to the Moore ones, where the distance-preserving spanning tree is preserved for some vertices. In this paper, we present some equations involving the adjacency matrix of a mixed radial Moore graph. These equations are used as a basis to create some spectral measures that lead us to rank mixed radial Moore graphs and show which graph is the closest graph to being a mixed Moore graph.
Co-Authors Cristina Dalfó J.M. Ceresuela M.A. Fiol Nacho López