Geodesic
A characterization of distance-regular graphs with diameter three
Journal of Algebraic Combinatorics, Tome 6 (1997) no. 3, pp. 299-303.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We characterize the distance-regular graphs with diameter three by giving an expression for the number of vertices at distance two from each given vertex, in terms of the spectrum of the graph.
Keywords: distance-regular graph, eigenvalues of graphs 
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     title = {A characterization of distance-regular graphs with diameter three},
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van Dam, Edwin R.; Haemers, Willem H. A characterization of distance-regular graphs with diameter three. Journal of Algebraic Combinatorics, Tome 6 (1997) no. 3, pp. 299-303. http://geodesic.mathdoc.fr/item/JAC_1997__6_3_a0/