Avoiding overlaps in pictures

Autor: Marcella Anselmo, Maria Madonia, Dora Giammarresi
Přispěvatelé: Università degli Studi di Salerno (UNISA), Università degli Studi di Roma Tor Vergata [Roma], Università degli studi di Catania [Catania], Giovanni Pighizzini, Cezar Câmpeanu, TC 1, WG 1.2
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Lecture Notes in Computer Science
19th International Conference on Descriptional Complexity of Formal Systems (DCFS)
19th International Conference on Descriptional Complexity of Formal Systems (DCFS), Jul 2017, Milano, Italy. pp.16-32, ⟨10.1007/978-3-319-60252-3_2⟩
Descriptional Complexity of Formal Systems ISBN: 9783319602516
DCFS
DOI: 10.1007/978-3-319-60252-3_2⟩
Popis: Part 1: Invited Papers; International audience; 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.
Databáze: OpenAIRE