Configurations and their realization

Abstract

The question is discussed whether a configuration (vr, bk) (i.e. is a finite incidence structure of v points and b lines such that each point lies on r lines, each line contains k points and two different points are connected at most once) can be drawn in the rational Euclidean plane as a system of v points and b lines. In the first part a historical survey is given concerning configurations v3 and (124,163) whereas the second part reports on those results obtained during the last years by means of new computational methods.