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» Crossing Number and Weighted Crossing Number of Near-Planar ...
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IJFCS
2006
58views more  IJFCS 2006»
13 years 6 months ago
Planar Crossing Numbers of Graphs Embeddable in Another Surface
Károly J. Börözky, János P...
ENDM
2007
65views more  ENDM 2007»
13 years 6 months ago
The crossing number of a projective graph is quadratic in the face-width
Isidoro Gitler, Petr Hlinený, Jesús ...
GD
2009
Springer
13 years 11 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...
GD
2006
Springer
13 years 10 months ago
On the Decay of Crossing Numbers
The crossing number cr(G) of a graph G is the minimum number of crossings over all drawings of G in the plane. In 1993, Richter and Thomassen [RT93] conjectured that there is a co...
Jacob Fox, Csaba D. Tóth