Quasi-Configurations Derived by Special Arrangements of Lines

Abstract

A quasi-configuration is a point–line incidence structure in which each point is incident with at least three lines and each line is incident with at least three points. We investigate derived quasi-configurations that arise both by duality and intersecting lines of three special arrangements of lines. Sets with few intersection numbers are provided.

Keywords

• quasi-configuration
• arrangement of lines
• Ceva configuration
• Klein configuration
• Wiman configuration
• sets with few intersection numbers