Two distance-regular graphs

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 bip...

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Bibliographic Details
Published in:Journal of algebraic combinatorics 2012-11, Vol.36 (3), p.403-407
Main Authors: Brouwer, Andries E., Pasechnik, Dmitrii V.
Format: Article
Language:English
Subjects:
Combinatorics
Computer Science
Convex and Discrete Geometry
Group Theory and Generalizations
Lattices
Mathematics
Mathematics and Statistics
Order
Ordered Algebraic Structures
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Summary: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.
ISSN:0925-9899
1572-9192
DOI:10.1007/s10801-011-0341-1