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» Pointed Drawings of Planar Graphs
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JCT
2007
111views more  JCT 2007»
14 years 9 months ago
Removing even crossings
An edge in a drawing of a graph is called even if it intersects every other edge of the graph an even number of times. Pach and T´oth proved that a graph can always be redrawn so...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
SODA
1994
ACM
138views Algorithms» more  SODA 1994»
14 years 11 months ago
Average Case Analysis of Dynamic Geometric Optimization
We maintain the maximum spanning tree of a planar point set, as points are inserted or deleted, in O(log3 n) time per update in Mulmuley's expected-case model of dynamic geom...
David Eppstein
ICALP
2009
Springer
15 years 10 months ago
Approximation Algorithms via Structural Results for Apex-Minor-Free Graphs
We develop new structural results for apex-minor-free graphs and show their power by developing two new approximation algorithms. The first is an additive approximation for colorin...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Ken-ich...
GD
2005
Springer
15 years 3 months ago
C-Planarity of Extrovert Clustered Graphs
A clustered graph has its vertices grouped into clusters in a hierarchical way via subset inclusion, thereby imposing a tree structure on the clustering relationship. The c-planari...
Michael T. Goodrich, George S. Lueker, Jonathan Z....
AUIC
2005
IEEE
15 years 3 months ago
Real-time 3D Finger Pointing for an Augmented Desk
The augmented desk is gaining popularity in recent HCI research. Its layout of a large horizontal screen on the desk enhances immersive and intense collaborative experiences. A re...
Le Song, Masahiro Takatsuka