A hyperbolic geometric graph is a type of graph that is embedded within a hyperbolic space, which is a non-Euclidean geometric space characterized by a constant negative curvature. Hyperbolic geometry has unique properties that differentiate it from Euclidean geometry, particularly in terms of parallel lines, triangle sums, and the relationship between distances and angles. In hyperbolic geometric graphs, the vertices can represent points in hyperbolic space, and the edges can represent relationships or connections between these points.
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