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» Quadrangulations of Planar Sets
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CVIU
1998
70views more  CVIU 1998»
13 years 8 months ago
Affine Matching of Planar Sets
Kenji Nagao, W. Eric L. Grimson
COMBINATORICS
2004
100views more  COMBINATORICS 2004»
13 years 9 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»
13 years 8 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»
13 years 24 days 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»
14 years 2 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...