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CCCG
2010
13 years 9 months ago
Some properties of higher order delaunay and gabriel graphs
We consider two classes of higher order proximity graphs defined on a set of points in the plane, namely, the k-Delaunay graph and the k-Gabriel graph. We give bounds on the follo...
Prosenjit Bose, Sébastien Collette, Ferran ...
GC
2011
Springer
12 years 11 months ago
Minimum Clique Partition in Unit Disk Graphs
The minimum clique partition (MCP) problem is that of partitioning the vertex set of a given graph into a minimum number of cliques. Given n points in the plane, the corresponding...
Adrian Dumitrescu, János Pach
CORR
2006
Springer
93views Education» more  CORR 2006»
13 years 7 months ago
Multirobot rendezvous with visibility sensors in nonconvex environments
This paper presents a coordination algorithm for mobile autonomous robots. Relying upon distributed sensing, the robots achieve rendezvous, that is, they move to a common location....
Anurag Ganguli, Jorge Cortés, Francesco Bul...
TASE
2010
IEEE
13 years 2 months ago
Coverage of a Planar Point Set With Multiple Robots Subject to Geometric Constraints
This paper focuses on the assignment of discrete points among K robots and determining the order in which the points should be processed by the robots, in the presence of geometric...
Nilanjan Chakraborty, Srinivas Akella, John T. Wen
CCCG
2007
13 years 9 months ago
Hamilton Circuits in Hexagonal Grid Graphs
We look at a variant of the Hamilton circuit problem, where the input is restricted to hexagonal grid graphs. A hexagonal grid graph has a vertex set that is a subset of the grid ...
Kamrul Islam, Henk Meijer, Yurai Núñ...