Two distance-regular graphs
Andries E. Brouwer
and Dmitrii V. Pasechnik
Dept. of Math., Techn. Univ. Eindhoven, P.O. Box 513, 5600MB, Eindhoven, Netherlands
DOI: 10.1007/s10801-011-0341-1
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.
Pages: 403–407
Keywords: distance-regular graph; dual polar graph; extended bipartite double
Full Text: PDF
References
Blok, R.J., Brouwer, A.E.: The geometry far from a residue. In: di Martino, L., Kantor, W.M., Lunardon, G., Pasini, A., Tamburini, M.C. (eds.) Groups and Geometries, pp. 29-38. Birkhäuser, Basel (1998) CrossRef 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) CrossRef Pasini, A.: Diagram Geometries. Oxford University Press, Oxford (1994)