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DM
2006
135views more  DM 2006»
13 years 6 months ago
Berge's conjecture on directed path partitions - a survey
Berge's conjecture from 1982 on path partitions in directed graphs generalizes and extends Dilworth's Theorem and the Greene-Kleitman Theorem which are well known for pa...
Irith Ben-Arroyo Hartman
JCT
2008
109views more  JCT 2008»
13 years 6 months ago
Decomposing Berge graphs and detecting balanced skew partitions
A hole in a graph is an induced cycle on at least four vertices. A graph is Berge if it has no odd hole and if its complement has no odd hole. In 2002, Chudnovsky, Robertson, Seym...
Nicolas Trotignon
EJC
2010
13 years 6 months ago
Partitions versus sets: A case of duality
In a recent paper, Amini et al. introduced a general framework to prove duality theorems between tree decompositions and their dual combinatorial object. They unify all known ad-h...
Laurent Lyaudet, Frédéric Mazoit, St...
SMA
2009
ACM
166views Solid Modeling» more  SMA 2009»
14 years 1 months ago
A geometric criterion for smooth interpolation of curve networks
A key problem when interpolating a network of curves occurs at vertices: an algebraic condition called the vertex enclosure constraint must hold wherever an even number of curves ...
T. Hermann, J. Peters, T. Strotman
CAGD
2000
246views more  CAGD 2000»
13 years 6 months ago
Estimation of the principle curvatures of approximated surfaces
This paper presents a method for estimating curvature values of a surface, which is given only approximatively, e.g., by measured data. The presented method requires estimates of ...
Christian Wollmann