Topological implications of negative curvature for biological and social networks

Autor:	Albert, Reka, DasGupta, Bhaskar, Mobasheri, Nasim
Rok vydání:	2014
Předmět:	Quantitative Biology - Molecular Networks Computer Science - Discrete Mathematics Computer Science - Social and Information Networks Physics - Physics and Society 92C42 68R10 05C40 05C38 05C82 91D30 E.1 J.3 J.4
Zdroj:	Physical Review E, 89 (3), 032811, 2014
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.89.032811
Popis:	Network measures that reflect the most salient properties of complex large-scale networks are in high demand in the network research community. In this paper we adapt a combinatorial measure of negative curvature (also called hyperbolicity) to parameterized finite networks, and show that a variety of biological and social networks are hyperbolic. This hyperbolicity property has strong implications on the higher-order connectivity and other topological properties of these networks. Specifically, we derive and prove bounds on the distance among shortest or approximately shortest paths in hyperbolic networks. We describe two implications of these bounds to cross-talk in biological networks, and to the existence of central, influential neighborhoods in both biological and social networks. Comment: Physical Review E, 2014
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1403.1228 Zobrazit plný text záznamu View this record from Arxiv