On a conjecture on bidimensional words
نویسندگان
چکیده
We prove that, given a double sequence w over the alphabet A (i.e. a mapping from Z to A), if there exists a pair (n0; m0) ∈ Z such that pw(n0; m0)¡ 1 100n0m0, then w has a periodicity vector, where pw is the complexity function in rectangles of w. c © 2002 Elsevier Science B.V. All rights reserved.
منابع مشابه
On Fine and Wilf's theorem for bidimensional words
Generalizations of Fine and Wilf’s Periodicity Theorem are obtained for the case of bidimensional words using geometric arguments. The domains considered constitute a large class of convex subsets of R which include most parallelograms. A complete discussion is provided for the parallelogram case. c © 2002 Published by Elsevier Science B.V.
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ورودعنوان ژورنال:
- Theor. Comput. Sci.
دوره 299 شماره
صفحات -
تاریخ انتشار 2003