Representation of curves of constant width in the hyperbolic plane.
Araújo, P.V. (1998)
Portugaliae Mathematica
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Araújo, P.V. (1998)
Portugaliae Mathematica
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Jorge Cortés, Sonia Martínez, Francesco Bullo (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper presents coordination algorithms for groups of mobile agents performing deployment and coverage tasks. As an important modeling constraint, we assume that each mobile agent has a limited sensing or communication radius. Based on the geometry of Voronoi partitions and proximity graphs, we analyze a class of aggregate objective functions and propose coverage algorithms in continuous and discrete time. These algorithms have convergence guarantees and are spatially distributed...
Jean-Marc Drézet (2013)
Open Mathematics
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A primitive multiple curve is a Cohen-Macaulay irreducible projective curve Y that can be locally embedded in a smooth surface, and such that Y red is smooth. We study the deformations of Y to curves with smooth irreducible components, when the number of components is maximal (it is then the multiplicity n of Y). We are particularly interested in deformations to n disjoint smooth irreducible components, which are called fragmented deformations. We describe them completely. We give also...
Jiří Vinárek (1987)
Acta Universitatis Carolinae. Mathematica et Physica
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Noble, S.D. (2009)
The Electronic Journal of Combinatorics [electronic only]
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Kim, Philsu, Kim, Hyoungseok (2010)
Mathematical Problems in Engineering
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