Books about graphs in non-Euclidean geometries?

Question

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Please advise books about graphs in non-Euclidean geometries?

Answer 1

As far as I know, the study of graph theory is carried out within the framework of algebraic (including linear algebra, spectral theory and group theory), combinatorial, algorithmic and geometric approaches. That's just the geometric approach does not use the basic axioms of Euclid. One definition says that a geometric graph is a geometric configuration or structure in the space of incidence relations , consisting of a set of points interconnected by a set of continuous, self-disjoint curves.
It seems to me that there is simply no place for parallelism and analysis of its presence / absence.
And let me ask you, where did your question come from and what problem are you trying to solve?