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DCG
2010
84views more  DCG 2010»
14 years 12 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 3 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 3 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 11 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 6 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...