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» On the Decay of Crossing Numbers
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APVIS
2008
13 years 8 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...
IACR
2011
85views more  IACR 2011»
12 years 6 months ago
Random Number Generation Based on Oscillatory Metastability in Ring Circuits
: Random number generator designs are discussed, which utilize oscillatory metastability, induced  by switching between two stable states of ring‐connected di...
Laszlo Hars
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...
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...
COMPGEOM
2006
ACM
14 years 1 months ago
On the maximum number of edges in topological graphs with no four pairwise crossing edges
A topological graph is called k-quasi-planar, if it does not contain k pairwise crossing edges. It is conjectured that for every fixed k, the maximum number of edges in a kquasi-...
Eyal Ackerman