Periodicity in rectangular arrays - LIRMM - Laboratoire d’Informatique, de Robotique et de Microélectronique de Montpellier
Article Dans Une Revue Information Processing Letters Année : 2017

Periodicity in rectangular arrays

Résumé

We discuss several two-dimensional generalizations of the familiar Lyndon–Schützenberger periodicity theorem for words. We consider the notion of primitive array (as one that cannot be expressed as the repetition of smaller arrays). We count the number of mxn arrays that are primitive. Finally, we show that one can test primitivity and compute the primitive root of an array in linear time.

Dates et versions

lirmm-01378894 , version 1 (10-10-2016)

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Citer

Guilhem Gamard, Gwenaël Richomme, Jeffrey Shallit, Taylor J. Smith. Periodicity in rectangular arrays. Information Processing Letters, 2017, 118, pp.58-63. ⟨10.1016/j.ipl.2016.09.011⟩. ⟨lirmm-01378894⟩
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