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GD
2006
Springer
13 years 11 months ago
On the Decay of Crossing Numbers
The crossing number cr(G) of a graph G is the minimum number of crossings over all drawings of G in the plane. In 1993, Richter and Thomassen [RT93] conjectured that there is a co...
Jacob Fox, Csaba D. Tóth
EM
2010
155views Management» more  EM 2010»
13 years 7 months ago
Hyperbolic Graphs of Small Complexity
In this paper we enumerate and classify the "simplest" pairs (M, G) where M is a closed orientable 3-manifold and G is a trivalent graph embedded in M. To enumerate the p...
Damian Heard, Craig Hodgson, Bruno Martelli, Carlo...
SAC
2006
ACM
14 years 1 months ago
MTree: an XML XPath graph index
This paper introduces the MTree index algorithm, a special purpose XML XPath index designed to meet the needs of the hierarchical XPath query language. With the increasing importa...
P. Mark Pettovello, Farshad Fotouhi
SOICT
2010
13 years 2 months ago
Constraint-based local search for solving non-simple paths problems on graphs: application to the routing for network covering p
Routing problems have been considered as central problems in the fields of transportation, distribution and logistics. LS(Graph) is a generic framework allowing to model and solve...
Pham Quang Dung, Phan-Thuan Do, Yves Deville, Tuon...
COMPGEOM
2005
ACM
13 years 9 months ago
Kinetic sorting and kinetic convex hulls
Let S be a set of n points moving on the real line. The kinetic sorting problem is to maintain a data structure on the set S that makes it possible to quickly generate a sorted li...
Mohammad Ali Abam, Mark de Berg