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DCG
2010
135views more  DCG 2010»
15 years 2 months ago
Universal Sets of n Points for One-bend Drawings of Planar Graphs with n Vertices
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...
CPHYSICS
2006
57views more  CPHYSICS 2006»
15 years 1 months ago
Generation of Clebsch-Gordan coefficients for the point and double groups
The theory of the point and double groups has been widely used in quantum physics to understand the structure and dynamical properties of molecules and solids. In order to constru...
K. Rykhlinskaya, S. Fritzsche
DM
2006
68views more  DM 2006»
15 years 1 months ago
A note on maximally repeated sub-patterns of a point set
We answer a question raised by Brass on the number of maximally repeated sub-patterns in a set of n points in Rd. We show that this number, which was conjectured to be polynomial,...
Véronique Cortier, Xavier Goaoc, Mira Lee, ...
DCG
2007
106views more  DCG 2007»
15 years 1 months ago
A Combinatorial Property of Points and Balls, a Colored Version
Any finite set X ⊂ Rd colored with d+3 2 colors, contains a rainbow subset Y ⊂ X, such that any ball that contains Y contains a positive fraction of the points of X. The bound...
Maria N. Prodromou
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MP
2008
82views more  MP 2008»
15 years 1 months ago
Newton's iterates can converge to non-stationary points
Abstract In this note we discuss the convergence of Newton's method for minimization. We present examples in which the Newton iterates satisfy the Wolfe conditions and the Hes...
Walter F. Mascarenhas