Abstract
Let Γ denote a Q-polynomial distance-regular graph with diameter at least three and standard module V. We introduce two direct sum decompositions of V. We call these the displacement decomposition for Γ and the split decomposition for Γ. We describe how these decompositions are related.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Terwilliger, P. The Displacement and Split Decompositions for a Q-Polynomial Distance-regular Graph. Graphs and Combinatorics 21, 263–276 (2005). https://doi.org/10.1007/s00373-004-0594-8
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s00373-004-0594-8