3 research outputs found
Blocking sets of the Hermitian unital
It is known that the classical unital arising from the Hermitian curve in PG(2,9) does not have a 2-coloring without monochromatic lines. Here we show that for q≥4 the Hermitian curve in PG(2,q2) does possess 2-colorings without monochromatic lines. We present general constructions and also prove a lower bound on the size of blocking sets in the classical unital
SRG-configuration
We study combinatorial configurations with the associated point and line
graphs being strongly regular. Examples not belonging to known classes such as
partial geometries and their generalizations or elliptic semiplanes are
constructed. Necessary existence conditions are proved and a table of feasible
parameters of such configurations with at most 200 points is presented.
Non-existence of some configurations with feasible parameters is proved.Comment: 23 pages, 1 figure. Revision: added Proposition 5.6 and made some
minor correction