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AUTOMATICA
2005
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14 years 16 days ago
A hierarchical cyclic pursuit scheme for vehicle networks
The agreement problem is studied whereby a group of mobile agents achieves convergence to a common point. A hierarchical cyclic pursuit scheme is introduced, and it is shown that ...
Stephen L. Smith, Mireille E. Broucke, Bruce A. Fr...
SIAMCOMP
2008
95views more  SIAMCOMP 2008»
14 years 16 days ago
On the Algorithmic Aspects of Discrete and Lexicographic Helly-Type Theorems and the Discrete LP-Type Model
Helly's theorem says that, if every d+1 elements of a given finite set of convex objects in Rd have a common point, there is a point common to all of the objects in the set. I...
Nir Halman
DM
2006
91views more  DM 2006»
14 years 19 days ago
On the unique representability of spikes over prime fields
For an integer n 3, a rank-n matroid is called an n-spike if it consists of n three-point lines through a common point such that, for all k {1, 2, . . . , n - 1}, the union of e...
Zhaoyang Wu, Zhi-Wei Sun