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Synchronized Dancing of Oblivious Chameleons

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8496))

Abstract

It has been recently discovered that oblivious iguanid lizards can form a periodic sequence of tableaux vivants with some restrictions on the tableaux. By viewing each tableau as a dance step, a formable sequence can be seen as a dance choreography, performable by the lizards. Interestingly, a complete characterization exists of the dances performable by all families of oblivious iguanid lizards except for the family of chameleons. This gap in knowledge opens the main research question addressed here: what choreographies can be danced by oblivious chameleons? We provide a full answer to this question, investigating formable tableaux, danceable choreographies as well as number of skin colours. We show that, unlike other lizards, in their feasible dances chameleons can touch and repeat steps. Also, they can do this even if they are asynchronous.

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© 2014 Springer International Publishing Switzerland

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Das, S., Flocchini, P., Prencipe, G., Santoro, N. (2014). Synchronized Dancing of Oblivious Chameleons. In: Ferro, A., Luccio, F., Widmayer, P. (eds) Fun with Algorithms. FUN 2014. Lecture Notes in Computer Science, vol 8496. Springer, Cham. https://doi.org/10.1007/978-3-319-07890-8_10

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  • DOI: https://doi.org/10.1007/978-3-319-07890-8_10

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07889-2

  • Online ISBN: 978-3-319-07890-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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