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math.CO2026
Optimally pseudorandom -free graphs
Jie Han, Ferdinand Ihringer, Hendrik Van Maldeghem
We show that optimally pseudorandom -free graphs of order and degree exist by constructing a graph in the split Cayley hexagon, matching the known upper b…
math.CO2026
The natural embedding of the Ree-Tits Octagon
Sebastian Petit, Hendrik Van Maldeghem
In this paper, we study and characterise the natural embedding of the Ree-Tits octagons. Keywords: Ree-Tits Octagon, Metasymplectic space, generalised octagon, generalised polygon
math.CO2026
Lines and Opposition in Lie Incidence Geometries of Exceptional Type
Sira Busch, Hendrik Van Maldeghem
We characterise sets of points of exceptional Lie incidence geometries, that is, the natural geometries arising from spherical buildings of exceptional types , $\math…