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TCS
2010
14 years 8 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»
14 years 4 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
15 years 4 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
72
Voted
ISCAS
2003
IEEE
99views Hardware» more  ISCAS 2003»
15 years 2 months 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
15 years 1 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