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...
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 ...
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...
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...
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 ...