A distance-regular graph with intersection array (5,4,3,3; 1,1,1,2) does not exist
Journal of Algebraic Combinatorics, Tome 2 (1993) no. 1, pp. 49-56.

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Summary: We prove that a distance-regular graph with intersection array (5, 4, 3, 3; 1, 1, 1, 2) does not exist. The proof is purely combinatorial and computer-free.
Keywords: distance-regular graph, intersection array
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     title = {A distance-regular graph with intersection array (5,4,3,3; 1,1,1,2) does not exist},
     journal = {Journal of Algebraic Combinatorics},
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Fon-Der-Flaass, D.G. A distance-regular graph with intersection array (5,4,3,3; 1,1,1,2) does not exist. Journal of Algebraic Combinatorics, Tome 2 (1993) no. 1, pp. 49-56. http://geodesic.mathdoc.fr/item/JAC_1993__2_1_a2/