The Simultaneous Number-in-Hand Communication Model for Networks: Private Coins, Public Coins and Determinism

Florent Becker,Pedro Montealegre,Ivan Rapaport,Ioan Todinca

doi:10.1007/978-3-319-09620-9_8

The Simultaneous Number-in-Hand Communication Model for Networks: Private Coins, Public Coins and Determinism

Florent Becker, Pedro Montealegre + Show 2 more

https://doi.org/10.1007/978-3-319-09620-9_8

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Publication Date: Jan 1, 2014

Citations: 22

Affiliation: Centre Val de Loire, Institut National des Sciences Appliquées Centre Val de Loire, University of Orléans

#Private Coins #Public Coins + Show 8 more

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Abstract

We study the multiparty communication model where players are the nodes of a network and each of these players knows his/her own identifier together with the identifiers of his/her neighbors. The players simultaneously send a unique message to a referee who must decide a graph property. The goal of this article is to separate, from the point of view of message size complexity, three different settings: deterministic protocols, randomized protocols with private coins and randomized protocols with public coins. For this purpose we introduce the boolean function Twins. This boolean function returns 1 if and only if there are two nodes with the same neighborhood.

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