Skip to main content
SpringerLink
Log in

The Displacement and Split Decompositions for a Q-Polynomial Distance-regular Graph

  • Published:
Graphs and Combinatorics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin, Van Vleck Hall, 480 Lincoln Drive, Madison, WI, 53706–1388, USA

    Paul Terwilliger

Authors
  1. Paul Terwilliger
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Paul Terwilliger.

Rights and permissions

Reprints 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

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00373-004-0594-8

Mathematics Subject Classification 2000

Search

Navigation