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» Quadrangulations of Planar Sets
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CVIU
1998
70views more  CVIU 1998»
14 years 11 months ago
Affine Matching of Planar Sets
Kenji Nagao, W. Eric L. Grimson
COMBINATORICS
2004
100views more  COMBINATORICS 2004»
14 years 11 months ago
Lattice Structures from Planar Graphs
The set of all orientations of a planar graph with prescribed outdegrees carries the structure of a distributive lattice. This general theorem is proven in the first part of the p...
Stefan Felsner
CORR
2002
Springer
93views Education» more  CORR 2002»
14 years 11 months ago
On the Reflexivity of Point Sets
We introduce a new measure for planar point sets S that captures a combinatorial distance that S is from being a convex set: The reflexivity (S) of S is given by the smallest numb...
Esther M. Arkin, Sándor P. Fekete, Ferran H...
CORR
2011
Springer
138views Education» more  CORR 2011»
14 years 3 months ago
Many collinear k-tuples with no k+1 collinear points
For every k > 3, we give a construction of planar point sets with many collinear k-tuples and no collinear (k + 1)-tuples.
József Solymosi, Milos Stojakovic
ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
15 years 5 months ago
On the Geometric Dilation of Finite Point Sets
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...