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CORR
2010
Springer
141views Education» more  CORR 2010»
13 years 7 months ago
On generalized Frame-Stewart numbers
For the multi-peg Tower of Hanoi problem with k 4 pegs, so far the best solution is obtained by the Stewart's algorithm [15] based on the the following recurrence relation: ...
Jonathan Chappelon, Akihiro Matsuura
EJC
2011
13 years 1 months ago
Bounds on generalized Frobenius numbers
Let N ≥ 2 and let 1 < a1 < · · · < aN be relatively prime integers. The Frobenius number of this N-tuple is defined to be the largest positive integer that has no re...
Lenny Fukshansky, Achill Schürmann
CORR
2011
Springer
205views Education» more  CORR 2011»
13 years 1 months ago
On the algebraic numbers computable by some generalized Ehrenfest urns
This article deals with some stochastic population protocols, motivated by theoretical aspects of distributed computing. We modelize the problem by a large urn of black and white ...
Marie Albenque, Lucas Gerin
JCSS
2011
81views more  JCSS 2011»
13 years 1 months ago
Representing real numbers in a generalized numeration system
Abstract. We show how to represent an interval of real numbers in an abstract numeration system built on a language that is not necessarily regular. As an application, we consider ...
Emilie Charlier, Marion Le Gonidec, Michel Rigo
CADE
2009
Springer
14 years 7 months ago
A Generalization of Semenov's Theorem to Automata over Real Numbers
Abstract This work studies the properties of finite automata recognizing vectors with real components, encoded positionally in a given integer numeration base. Such automata are us...
Bernard Boigelot, Jérôme Leroux, Juli...