| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6424120 | European Journal of Combinatorics | 2015 | 15 Pages |
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. Such sum-free sets considered as integer sequences are 2-regular. We also prove that sequences corresponding to certain sum-free sets are automatic.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Zhi-Xiong Wen, Jie-Meng Zhang, Wen Wu,