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» Axiomatizing geometric constructions
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135
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CORR
2010
Springer
190views Education» more  CORR 2010»
15 years 15 days 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...
108
Voted
AI
2007
Springer
15 years 16 days 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
100
Voted
SMA
2003
ACM
15 years 5 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
115
Voted
FAW
2009
Springer
177views Algorithms» more  FAW 2009»
15 years 7 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 ...
86
Voted
ISAAC
2005
Springer
91views Algorithms» more  ISAAC 2005»
15 years 6 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...