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» Bidimensionality and geometric graphs
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GD
2007
Springer
14 years 1 months ago
Simultaneous Geometric Graph Embeddings
We consider the following problem known as simultaneous geometric graph embedding (SGE). Given a set of planar graphs on a shared vertex set, decide whether the vertices can be pla...
Alejandro Estrella-Balderrama, Elisabeth Gassner, ...
EJC
2010
13 years 7 months ago
Geometric properties of Assur graphs
In our previous paper, we presented the combinatorial theory for minimal isostatic pinned frameworks - Assur graphs - which arise in the analysis of mechanical linkages. In this p...
Brigitte Servatius, Offer Shai, Walter Whiteley
CCCG
2006
13 years 9 months ago
Geometric Separator for d-Dimensional Ball Graphs
We study the graph partitioning problem on ddimensional ball graphs in a geometric way. Let B be a set of balls in d-dimensional Euclidean space with radius ratio and -precision....
Kebin Wang, Shang-Hua Teng
ISAAC
2005
Springer
111views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Multi-directional Width-Bounded Geometric Separator and Protein Folding
We introduce the concept of multi-directional width-bounded geometric separator and get improved separator for the grid graph, which improves exact algorithm for the protein foldin...
Bin Fu, Sorinel Adrian Oprisan, Lizhe Xu
GD
2009
Springer
13 years 10 months ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer