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» On the Number of Halving Planes
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GD
2005
Springer
14 years 26 days ago
Odd Crossing Number Is Not Crossing Number
The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the nu...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
JCT
2007
103views more  JCT 2007»
13 years 7 months ago
Geometric drawings of Kn with few crossings
We give a new upper bound for the rectilinear crossing number cr(n) of the complete geometric graph Kn. We prove that cr(n) ≤ 0.380559 ¡n 4 ¢ + Θ(n3 ) by means of a new const...
Bernardo M. Ábrego, Silvia Fernández...
COMGEO
2012
ACM
12 years 3 months ago
Routing multi-class traffic flows in the plane
We study a class of multi-commodity flow problems in geometric domains: For a given planar domain P populated with obstacles (holes) of K ≥ 2 types, compute a set of thick path...
Joondong Kim, Joseph S. B. Mitchell, Valentin Poli...
RECOMB
2008
Springer
14 years 7 months ago
Internal Validation of Ancestral Gene Order Reconstruction in Angiosperm Phylogeny
Abstract. Whole genome doubling (WGD), a frequent occurrence during the evolution of the angiopsperms, complicates ancestral gene order reconstruction due to the multiplicity of so...
David Sankoff, Chunfang Zheng, P. Kerr Wall, Claud...
DCG
2008
93views more  DCG 2008»
13 years 7 months ago
Odd Crossing Number and Crossing Number Are Not the Same
The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the nu...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...