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» Lower bounds on the obstacle number of graphs
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TCS
2010
13 years 6 months ago
Cops and Robbers from a distance
Cops and Robbers is a pursuit and evasion game played on graphs that has received much attention. We consider an extension of Cops and Robbers, distance k Cops and Robbers, where t...
Anthony Bonato, Ehsan Chiniforooshan, Pawel Pralat
ICRA
2003
IEEE
108views Robotics» more  ICRA 2003»
14 years 1 months ago
PCG: a foothold selection algorithm for spider robot locomotion in 2D tunnels
This paper presents an algorithm, called PCG, for planning the foothold positions of spider-like robots in planar tunnels bounded by piecewise linear walls. The paper focuses on 3-...
Amir Shapiro, Elon Rimon
GD
2005
Springer
14 years 1 months ago
Graph Treewidth and Geometric Thickness Parameters
Consider a drawing of a graph G in the plane such that crossing edges are coloured differently. The minimum number of colours, taken over all drawings of G, is the classical graph...
Vida Dujmovic, David R. Wood
FUN
2010
Springer
238views Algorithms» more  FUN 2010»
14 years 21 days ago
Mapping an Unfriendly Subway System
We consider a class of highly dynamic networks modelled on an urban subway system. We examine the problem of creating a map of such a subway in less than ideal conditions, where th...
Paola Flocchini, Matthew Kellett, Peter C. Mason, ...
SPAA
2009
ACM
14 years 8 months ago
On randomized representations of graphs using short labels
Informative labeling schemes consist in labeling the nodes of graphs so that queries regarding any two nodes (e.g., are the two nodes adjacent?) can be answered by inspecting mere...
Pierre Fraigniaud, Amos Korman