Tight distance-regular graphs and the subconstituent algebra

• Main Authors: Go, Junie T., Terwilliger, Paul
• Format: text
• Published: Animo Repository 2002
• Subjects: Graph theory; Algebra
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/6513
• Institution: De La Salle University

We consider a distance-regular graph Γ with diameter D ≥ 3, intersection numbers ai, bi, ciand eigenvalues k = θ0 > θ1 > ⋯ > θD. Let X denote the vertex set of Γ and fix x ∈ X. Let T = T(x) denote the subalgebra of Mat X(C) generated by A, E0 * , E1 * ,⋯ , ED * , where A denotes the adjace...