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ALGORITHMICA
2011
13 years 2 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...
APVIS
2008
13 years 9 months ago
Crossing Minimization meets Simultaneous Drawing
We define the concept of crossing numbers for simultaneous graphs by extending the crossing number problem of traditional graphs. We discuss differences to the traditional crossin...
Markus Chimani, Michael Jünger, Michael Schul...
SOFSEM
2005
Springer
14 years 1 months ago
Outerplanar Crossing Numbers of 3-Row Meshes, Halin Graphs and Complete p-Partite Graphs
An outerplanar (also called circular, convex, one-page) drawing of an n-vertex graph G is a drawing in which the vertices are placed on a circle and each edge is drawn using one s...
Radoslav Fulek, Hongmei He, Ondrej Sýkora, ...
GD
2007
Springer
14 years 1 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...
ESA
2008
Springer
127views Algorithms» more  ESA 2008»
13 years 9 months ago
The Alcuin Number of a Graph
We consider a planning problem that generalizes Alcuin's river crossing problem (also known as: The wolf, goat, and cabbage puzzle) to scenarios with arbitrary conflict graph...
Péter Csorba, Cor A. J. Hurkens, Gerhard J....