On the incidence graph of circular spaces

Sorgun, Sezer (Nevşehir Hacı Bektaş Veli University)
Ertaş, Ali Gökhan (Department of Informatics, Kütahya Dumlupınar University, Kütahya, 43020, Turkey.)
Günaltılı, İbrahim (Department of Mathematics, Eskişehir Osmangazi University, Eskişehir, 26140, Turkey.)

Electronic Journal of Graph Theory and Applications (EJGTA)
Vol 12, No 2 (2024): Electronic Journal of Graph Theory and Applications

A configuration of the triple (P,L,I) is an incidence relation which has the properties "any two points are incident with at most one line" and "any two lines are incident with at most one point". In projective geometry, bipartite graphs can be used as an incidence model between the points and lines of a configuration. The graphs associated with a space are a good tool for understanding the topological and geometric properties of space in abstract systems. In this paper we focus on the incidence graph of circular space and obtain its properties in terms of some pure graph invariants. We also characterize it in terms of the graphs associated with other spaces in the literature.