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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Ertaş, Ali Gökhan
Department of Informatics, Kütahya Dumlupınar University, Kütahya, 43020, Turkey.
Electrical & Electronics Engineering

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On the incidence graph of circular spaces Sorgun, Sezer; Ertaş, Ali Gökhan; Günaltılı, İbrahim
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 12, No 2 (2024): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2024.12.2.15

Abstract

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.
Co-Authors Günaltılı, İbrahim Sorgun, Sezer