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» Parity Problems in Planar Graphs
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COMPGEOM
2007
ACM
13 years 11 months ago
Embedding 3-polytopes on a small grid
We show how to embed a 3-connected planar graph with n vertices as a 3-polytope with small integer coordinates. The coordinates are bounded by O(27.55n ). The crucial part is the ...
Ares Ribó Mor, Günter Rote, Andr&eacut...
ICCSA
2007
Springer
14 years 1 months ago
Weak Visibility of Two Objects in Planar Polygonal Scenes
Abstract. Determining whether two segments s and t in a planar polygonal scene weakly see each other is a classical problem in computational geometry. In this problem we seek for a...
Mostafa Nouri, Alireza Zarei, Mohammad Ghodsi
WADS
1995
Springer
107views Algorithms» more  WADS 1995»
13 years 11 months ago
Quadrangulations of Planar Sets
We consider the problem of obtaining “nice” quadrangulations of planar sets of points. For many applications “nice” means that the quadrilaterals obtained are convex if po...
Godfried T. Toussaint
TAMC
2010
Springer
13 years 6 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
CAV
2003
Springer
160views Hardware» more  CAV 2003»
14 years 1 months ago
Fast Mu-Calculus Model Checking when Tree-Width Is Bounded
We show that the model checking problem for µ-calculus on graphs of bounded tree-width can be solved in time linear in the size of the system. The result is presented by first sh...
Jan Obdrzálek