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CORR
2008
Springer
90views Education» more  CORR 2008»
13 years 7 months ago
Communication-Efficient Construction of the Plane Localized Delaunay Graph
Let V be a finite set of points in the plane. We present a 2-local algorithm that constructs a plane 4 3 9 -spanner of the unit-disk graph UDG(V ). This algorithm makes only one ...
Prosenjit Bose, Paz Carmi, Michiel H. M. Smid, Dam...
CORR
2011
Springer
174views Education» more  CORR 2011»
13 years 2 months ago
Lower bounds on the obstacle number of graphs
Given a graph G, an obstacle representation of G is a set of points in the plane representing the vertices of G, together with a set of connected obstacles such that two vertices ...
Padmini Mukkamala, János Pach, Döm&oum...
JSYML
2008
84views more  JSYML 2008»
13 years 7 months ago
The modal logic of affine planes is not finitely axiomatisable
We consider a modal language for affine planes, with two sorts of formulas (for points and lines) and three modal boxes. To evaluate formulas, we regard an affine plane as a Kripke...
Ian Hodkinson, Altaf Hussain
CAGD
2005
135views more  CAGD 2005»
13 years 7 months ago
Constrained space curve interpolation with constraint planes
We consider the interpolation of a given set of ordered space data points by a smooth curve in the presence ofa set offinite or infinite constraint planes, where the polyline join...
V. P. Kong, B. H. Ong
WEA
2010
Springer
280views Algorithms» more  WEA 2010»
14 years 2 months ago
Practical Nearest Neighbor Search in the Plane
This paper shows that using some very simple practical assumptions, one can design an algorithm that finds the nearest neighbor of a given query point in O(log n) time in theory ...
Michael Connor, Piyush Kumar