engleski

SRG configurations

A (v_r, b_k) configuration is an incidence structure with v points and b lines, with r lines through any point and k points on any line, and at most one line through every pair of points. The point graph of a configuration has the v points as vertices and edges between pairs of points that are collinear. The line graph is defined dually. A SRG configuration is a (v_r, b_k) configuration such that both associated graphs are strongly regular. Examples include, but are not limited to, Steiner 2-designs and their duals, elliptic semiplanes, and partial geometries. We shall present some preliminary results on SRG configurations.

configuration ; strongly regular graph

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