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TCS
2010
13 years 5 months ago
A hierarchical strongly aperiodic set of tiles in the hyperbolic plane
We give a new construction of strongly aperiodic set of tiles in H2 , exhibiting a kind of hierarchical structure, simplifying the central framework of Margenstern’s proof that t...
Chaim Goodman-Strauss
DM
2011
253views Education» more  DM 2011»
13 years 2 months ago
On the hyperbolicity constant in graphs
If X is a geodesic metric space and x1, x2, x3 ∈ X, a geodesic triangle T = {x1, x2, x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X. The space X is δ-hy...
José M. Rodríguez, Jose Maria Sigarr...
INFOCOM
2007
IEEE
14 years 1 months ago
Geographic Routing Using Hyperbolic Space
Abstract— We propose a scalable and reliable point-topoint routing algorithm for ad hoc wireless networks and sensornets. Our algorithm assigns to each node of the network a virt...
Robert Kleinberg
ISCAS
2003
IEEE
99views Hardware» more  ISCAS 2003»
14 years 20 days ago
New hyperbolic source density models for blind source recovery score functions
We present two new hyperbolic source probability models to effectively represent sub-gaussian and super-gaussian families of sources for dynamic and convolutive Blind Source Recov...
Khurram Waheed, Fathi M. Salem
CHI
1995
ACM
13 years 11 months ago
A Focus+Context Technique Based on Hyperbolic Geometry for Visualizing Large Hierarchies
We present a new focus+context (fisheye) technique for visualizing and manipulating large hierarchies. Our technique assigns more display space to a portion of the hierarchy whil...
John Lamping, Ramana Rao, Peter Pirolli