Abstract
We construct two families of distance-regular graphs, namely the subgraph of the dual polar graph of type B 3(q) induced on the vertices far from a fixed point, and the subgraph of the dual polar graph of type D 4(q) induced on the vertices far from a fixed edge. The latter is the extended bipartite double of the former.
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Brouwer, A.E.: Additions and corrections to [3]. http://www.win.tue.nl/~aeb/drg/index.html
Brouwer, A.E., Cohen, A.M., Neumaier, A.: Distance-Regular Graphs. Springer, Heidelberg (1989)
Pasini, A.: Diagram Geometries. Oxford University Press, Oxford (1994)
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Brouwer, A.E., Pasechnik, D.V. Two distance-regular graphs. J Algebr Comb 36, 403–407 (2012). https://doi.org/10.1007/s10801-011-0341-1
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DOI: https://doi.org/10.1007/s10801-011-0341-1