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» On Graph Crossing Number and Edge Planarization
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107
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ECCC
2008
122views more  ECCC 2008»
15 years 13 days ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira
133
Voted
COMGEO
2006
ACM
15 years 12 days ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
156
Voted
VDA
2010
247views Visualization» more  VDA 2010»
15 years 2 months ago
Flow Web: a graph based user interface for 3D flow field exploration
While there have been intensive efforts in developing better 3D flow visualization techniques, little attention has been paid to the design of better user interfaces and more effe...
Lijie Xu, Han-Wei Shen
116
Voted
COMPGEOM
1996
ACM
15 years 4 months ago
Convex Drawings of Graphs in Two and Three Dimensions (Preliminary Version)
We provideO(n)-timealgorithmsfor constructingthe following types of drawings of n-vertex 3-connectedplanar graphs: 2D convex grid drawings with (3n) (3n=2) area under the edge L1-...
Marek Chrobak, Michael T. Goodrich, Roberto Tamass...
95
Voted
SIAMDM
2008
79views more  SIAMDM 2008»
15 years 9 days ago
Reconfigurations in Graphs and Grids
Let G be a connected graph, and let V and V two n-element subsets of its vertex set V (G). Imagine that we place a chip at each element of V and we want to move them into the posi...
Gruia Calinescu, Adrian Dumitrescu, János P...