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» Quadrangulations of Planar Sets
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JGAA
2006
108views more  JGAA 2006»
13 years 7 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
TAMC
2010
Springer
13 years 5 months ago
Two-Layer Planarization Parameterized by Feedback Edge Set
Abstract. Given an undirected graph G and an integer k ≥ 0, the NPhard 2-Layer Planarization problem asks whether G can be transformed into a forest of caterpillar trees by remov...
Johannes Uhlmann, Mathias Weller
DCG
2010
104views more  DCG 2010»
13 years 4 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...
PR
2008
132views more  PR 2008»
13 years 7 months ago
Measuring linearity of planar point sets
Our goal is to design algorithms that give a linearity measure for planar point sets. There is no explicit discussion on linearity in literature, although some existing shape meas...
Milos Stojmenovic, Amiya Nayak, Jovisa D. Zunic
SIAMCOMP
1998
114views more  SIAMCOMP 1998»
13 years 6 months ago
Maximum k-Chains in Planar Point Sets: Combinatorial Structure and Algorithms
A chain of a set P of n points in the plane is a chain of the dominance order on P. A k-chain is a subset C of P that can be covered by k chains. A k-chain C is a maximum k-chain ...
Stefan Felsner, Lorenz Wernisch