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math.CO2025
A Completion Result for Partial Affine and Inversive Spaces
Cassie Grace, Klaus Metsch, Geertrui Van de Voorde
A partial affine plane of order is a point-line incidence structure with points and points on each line, such that every two lines meet in at most one point. In this…
math.CO2025
The largest sets of non-opposite chambers in spherical buildings of type
Jan De Beule, Philipp Heering, Sam Mattheus +1
The investigation into large families of non-opposite flags in finite spherical buildings has been a recent addition to a long line of research in extremal combinatorics, extending…