A brief introduction to generalized quadrilaterals is presented (some simple properties and constructions). In simple terms these are finite geometries with no triangles (in contrast to projective planes). They are also a special case of partial geometries, and of generalized ?$n$?-gons. The collinearity graphs of partial geometries are strongly regular, which leads to properties of graph eigenvalues and also to Moore graphs (i.e., graphs in which the girth equals twice the diameter plus one, such as the pentagon and the Petersen graph). Finally, some open problems and exercises are presented guiding the reader from the basics to modern questions at the intersection of finite geometries and graphs.

Rights

URN

URN:NBN:SI:doc-JXMAARTZ

COBISSID

248772355

Added

06.10.2026

Metadata

Citation

APA:

Jurišić, Aleksandar (2025). Svet brez trikotnikov. Obzornik za matematiko in fiziko, volume letn 72, issue 2, str. 41-62. URN:NBN:SI:doc-JXMAARTZ from http://www.dlib.si

MLA:

Jurišić, Aleksandar. "Svet brez trikotnikov." Obzornik za matematiko in fiziko volume letn 72. issue 2 (2025) str. 41-62.
<http://www.dlib.si/?URN=URN:NBN:SI:doc-JXMAARTZ>

Obzornik za matematiko in fiziko
1951-
(Assembly record)