In string combinatorics, the sets of strings that have no overlaps (i.e. the prefix of one string does not coincide with the suffix of another string) are extensively investigated since they play an important role in the context of string matching and coding. The notion of overlap can be extended naturally to two dimensions; two pictures p and q have an overlap if one can put one corner of p on some position in q in such a way that all symbols in the common positions coincide. A picture with no self-overlaps is called unbordered and it is a generalization in two dimensions of an unbordered (or bifix-free) string. We study the problem of generating all unbordered pictures of fixed size and present a construction of non-expandable non-overlapping sets of pictures together with some examples.

Anselmo, M., Giammarresi, D., & Madonia, M. (2017). Avoiding overlaps in pictures. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp.16-32). Springer Verlag [10.1007/978-3-319-60252-3_2].

Avoiding overlaps in pictures

Giammarresi, Dora
;
2017

Abstract

In string combinatorics, the sets of strings that have no overlaps (i.e. the prefix of one string does not coincide with the suffix of another string) are extensively investigated since they play an important role in the context of string matching and coding. The notion of overlap can be extended naturally to two dimensions; two pictures p and q have an overlap if one can put one corner of p on some position in q in such a way that all symbols in the common positions coincide. A picture with no self-overlaps is called unbordered and it is a generalization in two dimensions of an unbordered (or bifix-free) string. We study the problem of generating all unbordered pictures of fixed size and present a construction of non-expandable non-overlapping sets of pictures together with some examples.
19th International Conference of Descriptional Complexity of Formal Systems, DCFS 2017
ita
2017
Rilevanza internazionale
su invito
Settore INF/01 - Informatica
English
Overlap; Two-dimensional language; Unbordered picture; Theoretical Computer Science; Computer Science (all)
http://springerlink.com/content/0302-9743/copyright/2005/
Intervento a convegno
Anselmo, M., Giammarresi, D., & Madonia, M. (2017). Avoiding overlaps in pictures. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp.16-32). Springer Verlag [10.1007/978-3-319-60252-3_2].
Anselmo, M; Giammarresi, D; Madonia, M
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/196846
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