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» On Planar Path Transformation
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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...
CORR
2012
Springer
195views Education» more  CORR 2012»
12 years 3 months ago
Multiple-Source Shortest Paths in Embedded Graphs
Let G be a directed graph with n vertices and non-negative weights in its directed edges, embedded on a surface of genus g, and let f be an arbitrary face of G. We describe an alg...
Sergio Cabello, Erin W. Chambers, Jeff Erickson
SODA
1998
ACM
128views Algorithms» more  SODA 1998»
13 years 8 months ago
A Polynomial-Time Approximation Scheme for Weighted Planar Graph TSP
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...
ICRA
2009
IEEE
150views Robotics» more  ICRA 2009»
14 years 2 months ago
Analytic error variance predictions for planar vehicles
— Path planning algorithms that incorporate risk and uncertainty need to be able to predict the evolution of pathfollowing error statistics for each candidate plan. We present an...
Matthew Greytak, Franz Hover
JDA
2010
122views more  JDA 2010»
13 years 2 months ago
Subexponential parameterized algorithms for degree-constrained subgraph problems on planar graphs
We present subexponential parameterized algorithms on planar graphs for a family of problems of the following shape: given a graph, find a connected (induced) subgraph with bounde...
Ignasi Sau, Dimitrios M. Thilikos