Abstract:A graph G = (V, E) is δ-hyperbolic if for any four vertices u, v, w, x, the two larger of the three distance sums d(u, v) + d(w, x), d(u, w) + d(v, x), and d(u, x) + d(v, w) differ by at most 2δ ≥ 0. Recent empirical studies show that many real-world graphs (including Internet application networks, web networks, collaboration networks, social networks, biological networks, and others) have small hyperbolicity δ. This paper describes the eccentricity terrain of a δ-hyperbolic graph.
The eccentricity function eT… Show more
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