2 papers
math.CO2010
Invariant and dual subtraction games resolving the Duchê-Rigo conjecture
Urban Larsson, Peter Hegarty, Aviezri S. Fraenkel
We prove a recent conjecture of Duchêne and Rigo, stating that every complementary pair of homogeneous Beatty sequences represents the solution to an \emph{invariant} impartial gam…
cs.FL2009
A Decision Problem for Ultimately Periodic Sets in Non-standard Numeration Systems
J. Bell, E. Charlier, A. S. Fraenkel +1
Consider a non-standard numeration system like the one built over the Fibonacci sequence where nonnegative integers are represented by words over without two consecutive…