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» On the Decay of Crossing Numbers
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ESA
2008
Springer
127views Algorithms» more  ESA 2008»
13 years 8 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....
JGT
2010
113views more  JGT 2010»
13 years 5 months ago
Crossing numbers of imbalanced graphs
The crossing number, cr(G), of a graph G is the least number of crossing points in any drawing of G in the plane. According to the Crossing Lemma of Ajtai, Chv´atal, Newborn, Sze...
János Pach, József Solymosi, G&aacut...
DATE
2009
IEEE
118views Hardware» more  DATE 2009»
14 years 1 months ago
Limiting the number of dirty cache lines
Abstract—Caches often employ write-back instead of writethrough, since write-back avoids unnecessary transfers for multiple writes to the same block. For several reasons, however...
Pepijn J. de Langen, Ben H. H. Juurlink
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...
SODA
2003
ACM
103views Algorithms» more  SODA 2003»
13 years 8 months ago
On the rectilinear crossing number of complete graphs
We prove a lower bound of 0.3288   n 4¡ for the rectilinear crossing number cr(Kn) of a complete graph on n vertices, or in other words, for the minimum number of convex quadril...
Uli Wagner