Year: 2019
Type: preprint
Abstract: We modify Wythoff's game by allowing an additional move, which we call a "split", and show how the $P$-positions are coded by the Tribonacci word. We analyze the table of letter positions of arbitrary $k$-bonacci words and find a $\mathrm{mex}$-rule that generates the Quadribonacci table.
Source: arXiv (Cornell University)
Authors: Fokkink, Robbert, Rust, Dan
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2936839227