The notion of unbordered picture generalizes to two dimensions the notion of unbordered (or bifix-free) string. We extend to two dimensions Nielsen’s construction of unbordered strings ([23]) and describe an algorithm to construct the set U(m, n) of unbordered pictures of fixed size (m, n). The algorithm recursively computes the set of quasi-unbordered pictures Q(m, n), i.e. pictures that can possibly have some “large” borders.
Unbordered pictures: Properties and construction
ANSELMO, Marcella;
2015-01-01
Abstract
The notion of unbordered picture generalizes to two dimensions the notion of unbordered (or bifix-free) string. We extend to two dimensions Nielsen’s construction of unbordered strings ([23]) and describe an algorithm to construct the set U(m, n) of unbordered pictures of fixed size (m, n). The algorithm recursively computes the set of quasi-unbordered pictures Q(m, n), i.e. pictures that can possibly have some “large” borders.File in questo prodotto:
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