Cross-bifix-free sets in two dimensions
Discrete Mathematics
2015-02-19 v1 Combinatorics
Abstract
A bidimensional bifix (in short bibifix) of a square matrix T is a square submatrix of T which occurs in the top-left and bottom-right corners of T. This allows us to extend the definition of bifix-free words and cross-bifix-free set of words to bidimensional structures. In this paper we exhaustively generate all the bibifix-free square matrices and we construct a particular non-expandable cross-bibifix-free set of square matrices. Moreover, we provide a Gray code for listing this set.
Cite
@article{arxiv.1502.05275,
title = {Cross-bifix-free sets in two dimensions},
author = {Elena Barcucci and Antonio Bernini and Stefano Bilotta and Renzo Pinzani},
journal= {arXiv preprint arXiv:1502.05275},
year = {2015}
}