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» Crossing Numbers of Graphs with Rotation Systems
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DCG
2008
93views more  DCG 2008»
13 years 4 months ago
Odd Crossing Number and Crossing Number Are Not the Same
The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the nu...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
GD
2007
Springer
13 years 10 months ago
Crossing Number of Graphs with Rotation Systems
We show that computing the crossing number of a graph with a given rotation system is NP-complete. This result leads to a new and much simpler proof of Hlinˇen´y’s result, tha...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
ALGORITHMICA
2011
12 years 11 months ago
Crossing Numbers of Graphs with Rotation Systems
We show that computing the crossing number and the odd crossing number of a graph with a given rotation system is NP-complete. As a consequence we can show that many of the well-k...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
SMI
2010
IEEE
120views Image Analysis» more  SMI 2010»
13 years 2 months ago
Single-Cycle Plain-Woven Objects
—It has recently been shown that if we twist an arbitrary subset of edges of a mesh on an orientable surface, the resulting extended graph rotation system (EGRS) can be used to i...
Qing Xing, Ergun Akleman, Jianer Chen, Jonathan L....
IWC
2000
99views more  IWC 2000»
13 years 4 months ago
Effective information visualisation: a study of graph drawing aesthetics and algorithms
Information visualisation systems which generate diagrams representing discrete relational information must consider potential users if they are to be effective. Many algorithms w...
Helen C. Purchase