On quantum adjacency algebras of Doob graphs and their irreducible modules

• Main Authors: Morales, John Vincent S., Palma, Tessie M.
• Format: text
• Published: Animo Repository 2021
• Subjects: Graph theory; Lie algebras; Algebra
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/11537
• Institution: De La Salle University

For fixed integers n ≥ 1 and m ≥ 0, we consider the Doob graph D = D(n, m)formed by taking direct product of n copies of Shrikhande graph and m copies of complete graph K4. Fix a vertex x of D, and let T = T (x) denote the Terwilliger algebra of D with respect to x. Let A denote the adjacency matrix...