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SIAMCOMP
2000
118views more  SIAMCOMP 2000»
13 years 7 months ago
On Bipartite Drawings and the Linear Arrangement Problem
The bipartite crossing number problem is studied, and a connection between this problem and the linear arrangement problem is established. It is shown that when the arboricity is ...
Farhad Shahrokhi, Ondrej Sýkora, Lás...
SDM
2008
SIAM
165views Data Mining» more  SDM 2008»
13 years 8 months ago
On the Dangers of Cross-Validation. An Experimental Evaluation
Cross validation allows models to be tested using the full training set by means of repeated resampling; thus, maximizing the total number of points used for testing and potential...
R. Bharat Rao, Glenn Fung
ESA
2004
Springer
139views Algorithms» more  ESA 2004»
14 years 23 days ago
Comparing Real Algebraic Numbers of Small Degree
We study polynomials of degree up to 4 over the rationals or a computable real subfield. Our motivation comes from the need to evaluate predicates in nonlinear computational geome...
Ioannis Z. Emiris, Elias P. Tsigaridas
CCCG
2004
13 years 8 months ago
On the number of line tangents to four triangles in three-dimensional space
We establish upper and lower bounds on the number of connected components of lines tangent to four triangles in R3 . We show that four triangles in R3 may admit at least 88 tangent...
Hervé Brönnimann, Olivier Devillers, S...
COMPGEOM
2004
ACM
14 years 24 days ago
The number of lines tangent to arbitrary convex polyhedra in 3D
We prove that the lines tangent to four possibly intersecting convex polyhedra in   3 with n edges in total form Θ(n2 ) connected components in the worst case. In the generic ca...
Hervé Brönnimann, Olivier Devillers, V...