Extremal results and configuration theorems for steiner systems

Abstract

This chapter discusses the structural properties of Steiner systems and especially the characterization of special systems by structural properties. A prototype of this is the characterization of classical projective planes by the “theorems” of Desargues and Pappus. The chapter discusses inequalities connecting the parameters of a Steiner system and the determining of systems that attain the bounds. © 1980, NORTH-HOLLAND PUBLISHING COMPANY.