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» Removing Independently Even Crossings
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GD
2009
Springer
13 years 9 months 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 4 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 4 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
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...
ISSTA
2006
ACM
13 years 10 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