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math.CO2026
Divisible design graphs obtained by plugging a difference set into a construction for antipodal distance-regular graphs of diameter 3
Bart De Bruyn, Sergey Goryainov, Ruilin Ma +1
In this paper, we present a new construction of divisible design graphs with new parameters, obtained by plugging a difference set of a quotient group into a known construction of…
math.CO2026
A family of Neumaier graphs containing examples with exactly five eigenvalues
Bart De Bruyn, Rhys J. Evans, Sergey Goryainov +1
A Neumaier graph is an edge-regular graph with a regular clique. Such a graph is said to have parameters if it is a -regular graph on vertices having a clique…