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» On the Number of Halving Planes
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JCT
2007
110views more  JCT 2007»
14 years 9 months ago
Bijective counting of Kreweras walks and loopless triangulations
Abstract. We consider lattice walks in the plane starting at the origin, remaining in the first quadrant i, j ≥ 0 and made of West, South and North-East steps. In 1965, Germain ...
Olivier Bernardi
CORR
2002
Springer
86views Education» more  CORR 2002»
14 years 9 months ago
Small Strictly Convex Quadrilateral Meshes of Point Sets
In this paper we give upper and lower bounds on the number of Steiner points required to construct a strictly convex quadrilateral mesh for a planar point set. In particular, we sh...
David Bremner, Ferran Hurtado, Suneeta Ramaswami, ...
ICRA
2010
IEEE
111views Robotics» more  ICRA 2010»
14 years 8 months ago
Two-dimensional dynamic modeling of a sliding motion of a soft fingertip focusing on stick-to-slip transition
Abstract— We describe here our proposed method to investigate the sliding motion of a soft fingertip in the dexterous manipulation. This paper focuses on analyzing dynamic slidi...
Van Anh Ho, Shinichi Hirai
SIAMDM
2010
123views more  SIAMDM 2010»
14 years 8 months ago
Large Bichromatic Point Sets Admit Empty Monochromatic 4-Gons
We consider a variation of a problem stated by Erd˝os and Szekeres in 1935 about the existence of a number fES (k) such that any set S of at least fES (k) points in general posit...
Oswin Aichholzer, Thomas Hackl, Clemens Huemer, Fe...
CORR
2010
Springer
168views Education» more  CORR 2010»
14 years 7 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...