Publications > Artigos em Revistas Internacionais

On a common foundation of incidence geometry and graph theory

Lima Fortes, Paulino

Submitted


Hilbert's axioms of incidence for the foundations of Geometry are revisited and the method of weakening the axioms is applied to derive some consequences from weaker models. Those models are called pre-geometries and multi-geometries. An axiomatic foundation for graph theory arises naturally in the context of the pre-geometries.