4 citations · 5 across the 15 of their papers we have counts for
4 papers · 1 filter
Erdős-Ko-Rado properties of Steiner 2-designs
Sam Adriaensen, Sergey Goryainov, Elena V. Konstantinova +1
In this paper, we prove an Erdős-Ko-Rado characterisation of maximum intersecting families of blocks in Steiner -designs arising from Desarguesian maximal arcs. This answers a r…
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…
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…
On Neumaier Cayley graphs
Rhys J. Evans, Sergey Goryainov, Grigory Ryabov +1
In the present paper, we study Neumaier Cayley graphs. First, we give a criterion for a Cayley graph to be a Neumaier graph with a spread given by the cosets of a subgroup. Further…