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AUTOMATICA
2005
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13 years 6 months 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»
13 years 6 months 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»
13 years 7 months 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