Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, November 04, 2010, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Luca Gugelmann

Graphs in Hyperbolic Geometry

Krioukov et al.[1] recently published a paper in which they consider a graph model with many interesting properties. In particular it has a power-law degree sequence, and its average degree, power-law exponent and clustering coefficient are all independently adjustable. In its simplest form it consists of N vertices uniformly distributed on a disk of radius R in a 2-dimensional hyperbolic space of curvature -1. Two vertices are joined by an edge if their hyperbolic distance is at most R. In this talk we present the basic model and its extensions.

[1] D. Krioukov, F. Papadopoulos, M. Kitsak, A. Vahdat, and M. Boguñá, “Hyperbolic Geometry of Complex Networks,” Physical Review E, vol. 82, Jun. 2010.

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