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ATMOS
2010
134views Optimization» more  ATMOS 2010»
13 years 6 months ago
Vertex Disjoint Paths for Dispatching in Railways
We study variants of the vertex disjoint paths problem in planar graphs where paths have to be selected from a given set of paths. We study the problem as a decision, maximization...
Holger Flier, Matús Mihalák, Anita S...
ISAAC
2005
Springer
91views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Sparse Geometric Graphs with Small Dilation
Given a set S of n points in RD , and an integer k such that 0 k < n, we show that a geometric graph with vertex set S, at most n − 1 + k edges, maximum degree five, and dila...
Boris Aronov, Mark de Berg, Otfried Cheong, Joachi...
GD
2006
Springer
13 years 11 months ago
Morphing Planar Graphs in Spherical Space
We consider the problem of intersection-free planar graph morphing, and in particular, a generalization from Euclidean space to spherical space. We show that there exists a continu...
Stephen G. Kobourov, Matthew Landis
FSTTCS
2000
Springer
13 years 11 months ago
Planar Graph Blocking for External Searching
We present a new scheme for storing a planar graph in external memory so that any online path can be traversed in an I-O efficient way. Our storage scheme significantly improves th...
Surender Baswana, Sandeep Sen
COMBINATORICS
2004
100views more  COMBINATORICS 2004»
13 years 7 months ago
Lattice Structures from Planar Graphs
The set of all orientations of a planar graph with prescribed outdegrees carries the structure of a distributive lattice. This general theorem is proven in the first part of the p...
Stefan Felsner