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ALGORITHMICA
2011
14 years 6 months ago
Crossing Number and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
Sergio Cabello, Bojan Mohar
ICDE
2008
IEEE
190views Database» more  ICDE 2008»
16 years 1 months ago
Efficient Query Processing in Large Traffic Networks
Abstract-- We present an original graph embedding to speedup distance-range and k-nearest neighbor queries on static and/or dynamic objects located on a (weighted) graph. Our metho...
Hans-Peter Kriegel, Matthias Renz, Peer Kröge...
CORR
2010
Springer
159views Education» more  CORR 2010»
14 years 9 months ago
Counting Plane Graphs: Flippability and its Applications
We generalize the notions of flippable and simultaneously-flippable edges in a triangulation of a set S of points in the plane, into so called pseudo simultaneously-flippable edge...
Michael Hoffmann, Micha Sharir, Adam Sheffer, Csab...
CORR
2004
Springer
108views Education» more  CORR 2004»
14 years 11 months ago
The lattice dimension of a graph
The Fibonacci dimension fdim(G) of a graph G is introduced as the smallest integer f such that G admits an isometric embedding into f , the f-dimensional Fibonacci cube. We give b...
David Eppstein
WG
2010
Springer
14 years 10 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...