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76
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GD
2006
Springer
15 years 1 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
108
Voted
EM
2010
155views Management» more  EM 2010»
14 years 10 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...
88
Voted
SAC
2006
ACM
15 years 4 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
132
Voted
SOICT
2010
14 years 5 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...
86
Voted
COMPGEOM
2005
ACM
15 years 7 days 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