On the regular sum-free sets
Number Theory
2015-05-13 v2 Combinatorics
Abstract
Cameron introduced a bijection between the set of sum-free sets and the set of all zero-one sequences. In this paper, we study the sum-free sets of natural numbers corresponding to certain zero-one sequences which contain the Cantor-like sequences and some substitution sequences, etc. Those sum- free sets considered as integer sequences are 2-regular. We also prove that sequences corresponding to certain sum-free sets are automatic.
Cite
@article{arxiv.1405.6493,
title = {On the regular sum-free sets},
author = {Zhi-Xiong Wen and Wen Wu and Jie-Meng Zhang},
journal= {arXiv preprint arXiv:1405.6493},
year = {2015}
}
Comments
17 pages, 1 figure