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Connectivity and Connected Components in the Number-in-Hand Computation Model

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Part of the Emergence, Complexity and Computation book series (ECC,volume 42)

Abstract

We study the multiparty communication model where players are the nodes of a graph G and each of these nodes knows his/her own identifier together with the identifiers of his/her neighbors. The nodes simultaneously send a unique message to a referee who must give the output (which is a fiunction of G). In this paper we prove that counting the numbers of connected components of G and deciding the connectivity of G are equivalent problems (in terms of the size of the messages).

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  • DOI: 10.1007/978-3-030-92551-2_6
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Correspondence to Ivan Rapaport .

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Lizama, A., Rapaport, I. (2022). Connectivity and Connected Components in the Number-in-Hand Computation Model. In: Adamatzky, A. (eds) Automata and Complexity. Emergence, Complexity and Computation, vol 42. Springer, Cham. https://doi.org/10.1007/978-3-030-92551-2_6

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  • DOI: https://doi.org/10.1007/978-3-030-92551-2_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-92550-5

  • Online ISBN: 978-3-030-92551-2

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