A class of amply regular graphs related to the subconstituents of a dual polar graph
Authors:
Feng-Gao Li
Affiliation:
a Department of Mathematics, Hunan Institute of Science and Technology, Yueyang, Hunan 414006, PR China b Department of Mathematics, Hebei Normal University, Shijiazhuang, Hebei 050016, PR China.
Abstract:
The connected components of the induced graphs on each subconstituent of the dual polar graph of the odd dimensional orthogonal spaces over a finite field are shown to be amply regular. The connected components of the graphs on the second and third subconstituents are shown to be distance-regular by elementary methods.