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DCG
2010
84views more  DCG 2010»
14 years 9 months ago
On Lines and Joints
Let L be a set of n lines in Rd , for d 3. A joint of L is a point incident to at least d lines of L, not all in a common hyperplane. Using a very simple algebraic proof techniqu...
Haim Kaplan, Micha Sharir, Eugenii Shustin
COMPGEOM
1992
ACM
15 years 1 months ago
On-Line Steiner Trees in the Euclidean Plane
Suppose we are given a sequence of n points in the Euclidean plane, and our objective is to construct, on-line, a connected graph that connects all of them, trying to minimize the...
Noga Alon, Yossi Azar
JCDCG
2000
Springer
15 years 1 months ago
Generalized Balanced Partitions of Two Sets of Points in the Plane
We consider the following problem. Let n 2, b 1 and q 2 be integers. Let R and B be two disjoint sets of n red points and bn blue points in the plane, respectively, such that no...
Atsushi Kaneko, Mikio Kano
SIAMDM
2008
110views more  SIAMDM 2008»
14 years 9 months ago
The Minimum Number of Distinct Areas of Triangles Determined by a Set of n Points in the Plane
We prove a conjecture of Erdos, Purdy, and Straus on the number of distinct areas of triangles determined by a set of n points in the plane. We show that if P is a set of n points...
Rom Pinchasi
VAMOS
2007
Springer
15 years 3 months ago
Visualisation of Variability in Software Product Line Engineering
Using a product line approach allows companies realize significant improvements in time-to-market, cost, productivity, and quality. One fundamental problem in software product lin...
Daren Nestor, Luke O'Malley, Aaron J. Quigley, Ern...