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math.RA2024
The nucleus of the Johnson graph
Kazumasa Nomura, Paul Terwilliger
In this paper, we describe the nucleus of the Johnson graph with . Let denote the vertex set of . Let denote the adjace…
math.CO2024
The Norton-balanced condition for -polynomial distance-regular graphs
Kazumasa Nomura, Paul Terwilliger
Let denote a -polynomial distance-regular graph, with vertex set and diameter . The standard module has a basis , whe…
math.RA2024
Formal self-duality and numerical self-duality for symmetric association schemes
Kazumasa Nomura, Paul Terwilliger
Let denote a symmetric association scheme. Fix an ordering of the primitive idempotents of , and let (resp.…