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

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

Let gamma 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 gamma and the split decomposition for gamma. We describe how these decompositions are related....

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Veröffentlicht in:Graphs and combinatorics 2005-06, Vol.21 (2), p.263-276
1. Verfasser: Terwilliger, Paul
Format: Artikel
Sprache:eng
Schlagworte:
Graphs
Polynomials
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Zusammenfassung:Let gamma 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 gamma and the split decomposition for gamma. We describe how these decompositions are related. [PUBLICATION ABSTRACT]
ISSN:0911-0119
1435-5914
DOI:10.1007/s00373-004-0594-8