Core words and Parikh matrices

Parikh matrices have been widely investigated due to their applicability in arithmetizing words by numbers. This paper introduces the core of a binary word, which captures the essential part of a word from the perspective of its Parikh matrix. Additionally, the stronger notion of core M-unambiguity...

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Main Authors: Teh, W.C., Kwa, K.H.
Format: Article
Published: Elsevier 2015
Subjects:
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author Teh, W.C.
Kwa, K.H.
author_facet Teh, W.C.
Kwa, K.H.
author_sort Teh, W.C.
collection UM
description Parikh matrices have been widely investigated due to their applicability in arithmetizing words by numbers. This paper introduces the core of a binary word, which captures the essential part of a word from the perspective of its Parikh matrix. Additionally, the stronger notion of core M-unambiguity is introduced and the characterization of core M-unambiguous binary words is obtained. Finally, a generalization of the core of a binary word and some of its interesting properties are investigated.
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spelling um.eprints-195732018-10-03T07:29:01Z http://eprints.um.edu.my/19573/ Core words and Parikh matrices Teh, W.C. Kwa, K.H. Q Science (General) QA Mathematics Parikh matrices have been widely investigated due to their applicability in arithmetizing words by numbers. This paper introduces the core of a binary word, which captures the essential part of a word from the perspective of its Parikh matrix. Additionally, the stronger notion of core M-unambiguity is introduced and the characterization of core M-unambiguous binary words is obtained. Finally, a generalization of the core of a binary word and some of its interesting properties are investigated. Elsevier 2015 Article PeerReviewed Teh, W.C. and Kwa, K.H. (2015) Core words and Parikh matrices. Theoretical Computer Science, 582. pp. 60-69. ISSN 0304-3975, DOI https://doi.org/10.1016/j.tcs.2015.03.037 <https://doi.org/10.1016/j.tcs.2015.03.037>. http://dx.doi.org/10.1016/j.tcs.2015.03.037 doi:10.1016/j.tcs.2015.03.037
spellingShingle Q Science (General)
QA Mathematics
Teh, W.C.
Kwa, K.H.
Core words and Parikh matrices
title Core words and Parikh matrices
title_full Core words and Parikh matrices
title_fullStr Core words and Parikh matrices
title_full_unstemmed Core words and Parikh matrices
title_short Core words and Parikh matrices
title_sort core words and parikh matrices
topic Q Science (General)
QA Mathematics
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