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DM
2006
135views more  DM 2006»
14 years 10 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»
14 years 10 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
14 years 10 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»
15 years 4 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»
14 years 10 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