Geodesic
A new distance-regular graph associated to the Mathieu group $M_{10}$
Journal of Algebraic Combinatorics, Tome 8 (1998) no. 2, pp. 153-156.

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Summary: We construct a bipartite distance-regular graph with intersection array ${45, 44, 36, 5; 1, 9, 40, 45}$ and automorphism group $3 ^{5} :(2 \times M _{10})$ (acting edge-transitively) and discuss its relation to previously known combinatorial structures.
Keywords: distance-regular graph, Mathieu group, spectra of graph 
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     author = {Brouwer, A.E. and Koolen, J.H. and Riebeek, R.J.},
     title = {A new distance-regular graph associated to the {Mathieu} group $M_{10}$},
     journal = {Journal of Algebraic Combinatorics},
     pages = {153--156},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_1998__8_2_a4/}
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Brouwer, A.E.; Koolen, J.H.; Riebeek, R.J. A new distance-regular graph associated to the Mathieu group $M_{10}$. Journal of Algebraic Combinatorics, Tome 8 (1998) no. 2, pp. 153-156. http://geodesic.mathdoc.fr/item/JAC_1998__8_2_a4/