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Operation Insertion on the Conjugacy and Commutativity of Words

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Theory and Practice of Natural Computing (TPNC 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11934))

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Abstract

In this paper, we do a theoretical study of some of the notions in combinatorics of words with respect to the insertion operation on words. We generalize the classical notions of conjugacy and commutativity of words to insertion-conjugacy and insertion-commutativity of words. We define and study properties of such words (i.e.) of words u, v and w such that \(u\leftarrow v = v\leftarrow u\) and \(u\leftarrow v = v\leftarrow w\).

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Correspondence to Hirapra Ravi .

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Mahalingam, K., Ravi, H. (2019). Operation Insertion on the Conjugacy and Commutativity of Words. In: Martín-Vide, C., Pond, G., Vega-Rodríguez, M. (eds) Theory and Practice of Natural Computing. TPNC 2019. Lecture Notes in Computer Science(), vol 11934. Springer, Cham. https://doi.org/10.1007/978-3-030-34500-6_4

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  • DOI: https://doi.org/10.1007/978-3-030-34500-6_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-34499-3

  • Online ISBN: 978-3-030-34500-6

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