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COMPGEOM
2005
ACM
13 years 9 months ago
Abstract order type extension and new results on the rectilinear crossing number
Order Type Extension and New Results ectilinear Crossing Number - Extended Abstract Oswin Aichholzer∗ Hannes Krasser† We provide a complete data base of all realizable order t...
Oswin Aichholzer, Hannes Krasser
COMPGEOM
2003
ACM
14 years 24 days ago
Loops in reeb graphs of 2-manifolds
Given a Morse function over a 2-manifold with or without boundary, the Reeb graph is obtained by contracting the connected components of the level sets to points. We prove tight u...
Kree Cole-McLaughlin, Herbert Edelsbrunner, John H...
SODA
2003
ACM
103views Algorithms» more  SODA 2003»
13 years 9 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
CORR
2007
Springer
96views Education» more  CORR 2007»
13 years 7 months ago
New Complexity Bounds for Certain Real Fewnomial Zero Sets
d Abstract) Frederic Bihan∗ Joel Gomez† Andrew Niles‡ J. Maurice Rojas§ January 24, 2007 Rojas dedicates this paper to his friend, Professor Tien-Yien Li. Consider real biv...
Joel Gomez, Andrew Niles, J. Maurice Rojas
CN
2011
88views more  CN 2011»
13 years 2 months ago
Multi-hour network planning based on domination between sets of traffic matrices
—In multi-hour network design, periodic traffic variations along time are considered in the dimensioning process. Then, the non coincidence of traffic peaks along the day or the ...
Pablo Pavón-Mariño, Belen Garcia-Man...