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» The cover time of random geometric graphs
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COMPGEOM
2009
ACM
15 years 4 months ago
Epsilon nets and union complexity
We consider the following combinatorial problem: given a set of n objects (for example, disks in the plane, triangles), and an integer L ≥ 1, what is the size of the smallest su...
Kasturi R. Varadarajan
TASE
2010
IEEE
14 years 4 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
COR
2000
129views more  COR 2000»
14 years 9 months ago
Heuristics for the multi-vehicle covering tour problem
The multi-vehicle covering tour problem is de"ned on a graph G"(<6=, E), where = is a set of vertices that must collectively be covered by up to m vehicles. The probl...
Mondher Hachicha, M. John Hodgson, Gilbert Laporte...
CORR
2010
Springer
190views Education» more  CORR 2010»
14 years 9 months ago
Overlap properties of geometric expanders
The overlap number of a finite (d + 1)-uniform hypergraph H is the largest constant c(H) (0, 1] such that no matter how we map the vertices of H into Rd , there is a point covered...
Jacob Fox, Mikhail Gromov, Vincent Lafforgue, Assa...
CN
2010
121views more  CN 2010»
14 years 6 months ago
Probabilistic flooding for efficient information dissemination in random graph topologies
Probabilistic flooding has been frequently considered as a suitable dissemination information approach for limiting the large message overhead associated with traditional (full) f...
Konstantinos Oikonomou, Dimitrios Kogias, Ioannis ...