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» Removing Independently Even Crossings
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GD
2009
Springer
14 years 14 days ago
Removing Independently Even Crossings
We show that cr(G) ≤ 2 iocr(G) 2 settling an open problem of Pach and T´oth [4, 1]. Moreover, iocr(G) = cr(G) if iocr(G) ≤ 2. 1 Crossing Numbers Pach and T´oth point out in ...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
ENDM
2007
106views more  ENDM 2007»
13 years 7 months ago
Removing Even Crossings on Surfaces
In this paper we investigate how certain results related to the HananiTutte theorem can be extended from the plane to surfaces. We give a simple topological proof that the weak Ha...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
JCT
2007
111views more  JCT 2007»
13 years 7 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...
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...
ISSTA
2006
ACM
14 years 1 months ago
Architecture-driven platform independent deterministic replay for distributed hard real-time systems
Distributed hard real-time systems have become a major component of many advanced technical products. Means to ensure their proper quality are thus of paramount importance. To ens...
Holger Giese, Stefan Henkler