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CIAC
2006
Springer
278views Algorithms» more  CIAC 2006»
14 years 1 months ago
Covering a Set of Points with a Minimum Number of Lines
We consider the minimum line covering problem: given a set S of n points in the plane, we want to find the smallest number l of straight lines needed to cover all n points in S. W...
Magdalene Grantson, Christos Levcopoulos
JGAA
2006
108views more  JGAA 2006»
13 years 10 months ago
Planar embeddability of the vertices of a graph using a fixed point set is NP-hard
Let G = (V, E) be a graph with n vertices and let P be a set of n points in the plane. We show that deciding whether there is a planar straight-line embedding of G such that the v...
Sergio Cabello
DCG
2006
80views more  DCG 2006»
13 years 10 months ago
Lattice Points in Large Borel Sets and Successive Minima
Let B be a Borel set in Ed with volume V (B) = . It is shown that almost all lattices L in Ed contain infinitely many pairwise disjoint d-tuples, that is sets of d linearly indepen...
Iskander Aliev, Peter M. Gruber
DAM
2011
13 years 5 months ago
Noisy colored point set matching
In this paper we tackle the problem of matching two colored point sets in R3 under the bottleneck distance. First we present an exact matching algorithm that requires the computat...
Yago Diez, Joan Antoni Sellarès
DCG
2010
104views more  DCG 2010»
13 years 7 months ago
Vietoris-Rips Complexes of Planar Point Sets
Fix a finite set of points in Euclidean n-space En , thought of as a point-cloud sampling of a certain domain D En . The VietorisRips complex is a combinatorial simplicial complex...
Erin W. Chambers, Vin de Silva, Jeff Erickson, Rob...