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» Axiomatizing geometric constructions
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CORR
2010
Springer
190views Education» more  CORR 2010»
13 years 8 months ago
Overlap properties of geometric expanders
The overlap number of a finite (d + 1)-uniform hypergraph H is the largest constant c(H) (0, 1] such that no matter how we map the vertices of H into Rd , there is a point covered...
Jacob Fox, Mikhail Gromov, Vincent Lafforgue, Assa...
AI
2007
Springer
13 years 8 months ago
Conservation principles and action schemes in the synthesis of geometric concepts
In this paper a theory for the synthesis of geometric concepts is presented. The theory is focused on a constructive process that synthesizes a function in the geometric domain re...
Luis Alberto Pineda
SMA
2003
ACM
14 years 1 months ago
Geometric constraint solving via C-tree decomposition
This paper has two parts. First, we propose a method which can be used to decompose a geometric constraint graph into a c-tree. With this decomposition, solving for a well-constrai...
Xiao-Shan Gao, Gui-Fang Zhang
FAW
2009
Springer
177views Algorithms» more  FAW 2009»
14 years 3 months ago
Bounds on the Geometric Mean of Arc Lengths for Bounded-Degree Planar Graphs
Data access time becomes the main bottleneck in applications dealing with large-scale graphs. Cache-oblivious layouts, constructed to minimize the geometric mean of arc lengths of ...
Mohammad Khairul Hasan, Sung-Eui Yoon, Kyung-Yong ...
ISAAC
2005
Springer
91views Algorithms» more  ISAAC 2005»
14 years 2 months ago
Sparse Geometric Graphs with Small Dilation
Given a set S of n points in RD , and an integer k such that 0 k < n, we show that a geometric graph with vertex set S, at most n − 1 + k edges, maximum degree five, and dila...
Boris Aronov, Mark de Berg, Otfried Cheong, Joachi...