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DM
2008
103views more  DM 2008»
13 years 7 months ago
Improper colouring of (random) unit disk graphs
For any graph G, the k-improper chromatic number k (G) is the smallest number of colours used in a colouring of G such that each colour class induces a subgraph of maximum degree ...
Ross J. Kang, Tobias Müller, Jean-Séba...
EJC
2002
13 years 7 months ago
Neighbourhood Graphs of Cayley Graphs for Finitely-generated Groups
In this short note the neighbourhood graph of a Cayley graph is considered. It has as nodes a symmetric generating set of a finitely-generated group . Two nodes are connected by a...
Markus Neuhauser
DAGSTUHL
1997
13 years 8 months ago
Constrained Navigation Environments
Finding one’s way through a complex virtual environment is a standard task in 3D graphics and virtual reality applications. Constrained navigation is a method that appropriately...
Andrew J. Hanson, Eric A. Wernert, Stephen B. Hugh...
AUSAI
2008
Springer
13 years 9 months ago
Constraint-Based Multi-agent Path Planning
Planning collision-free paths for multiple robots traversing a shared space is a problem that grows combinatorially with the number of robots. The naive centralised approach soon ...
Malcolm Ryan
SIAMDM
2008
79views more  SIAMDM 2008»
13 years 7 months ago
Testing Triangle-Freeness in General Graphs
In this paper we consider the problem of testing whether a graph is triangle-free, and more generally, whether it is H-free, for a fixed subgraph H. The algorithm should accept gr...
Noga Alon, Tali Kaufman, Michael Krivelevich, Dana...