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» The Complexity of Planarity Testing
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ESA
2004
Springer
137views Algorithms» more  ESA 2004»
14 years 1 months ago
Fast 3-Coloring Triangle-Free Planar Graphs
We show the first o(n2 ) algorithm for coloring vertices of trianglefree planar graphs using three colors. The time complexity of the algorithm is O(n log n). Our approach can be ...
Lukasz Kowalik
CCCG
2010
13 years 9 months ago
Computing straight skeletons of planar straight-line graphs based on motorcycle graphs
We present a simple algorithm for computing straight skeletons of planar straight-line graphs. We exploit the relation between motorcycle graphs and straight skeletons, and introd...
Stefan Huber, Martin Held
CORR
2008
Springer
74views Education» more  CORR 2008»
13 years 7 months ago
Shortest Vertex-Disjoint Two-Face Paths in Planar Graphs
Abstract. Let G be a directed planar graph of complexity n, each arc having a nonnegative length. Let s and t be two distinct faces of G; let s1, . . . , sk be vertices incident wi...
Éric Colin de Verdière, Alexander Sc...
IPL
2006
69views more  IPL 2006»
13 years 7 months ago
On computing the smallest four-coloring of planar graphs and non-self-reducible sets in P
We show that computing the lexicographically first four-coloring for planar graphs is p 2hard. This result optimally improves upon a result of Khuller and Vazirani who prove this ...
André Große, Jörg Rothe, Gerd We...
3DPVT
2006
IEEE
224views Visualization» more  3DPVT 2006»
14 years 1 months ago
3D Modeling Using Planar Segments and Mesh Elements
Range sensing technology allows the photorealistic modeling of large-scale scenes, such as urban structures. The generated 3D representations, after automated registration, are us...
Ioannis Stamos, Gene Yu, George Wolberg, Siavash Z...