On the trade-off between network connectivity, round complexity, and communication complexity of reliable message transmissionOn the trade-off between network connectivity, round complexity, and communication complexity of reliable message transmission

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 Author Badanidiyuru, Ashwinkumar ♦ Patra, Arpita ♦ Choudhury, Ashish ♦ Srinathan, Kannan ♦ Rangan, C Pandu Source ACM Digital Library Content type Text Publisher Association for Computing Machinery (ACM) File Format PDF Copyright Year ©2012 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science Subject Keyword Distributed computing ♦ Computationally unbounded ♦ Message transmission Abstract Perfectly reliable message transmission (PRMT) is one of the fundamental problems in distributed computing. It allows a sender to reliably transmit a message to a receiver in an unreliable network, even in the presence of a computationally unbounded adversary. In this article, we study the inherent trade-off between the three important parameters of the PRMT protocols, namely, the network connectivity $(\textit{n}),$ the round complexity $(\textit{r}),$ and the communication complexity by considering the following generic question (which can be considered as the holy grail problem) in the context of the PRMT protocols. Given an $\textit{n}-connected$ network, a message of size ℓ (to be reliably communicated) and a limit $\textbf{c}$ for the total communication allowed between the sender and the receiver, what is the minimum number of communication rounds required by a PRMT protocol to send the message, such that the communication complexity of the protocol is $O(\textbf{c})?$ We answer this interesting question by deriving a nontrivial lower bound on the round complexity. Moreover, we show that the lower bound is tight in the amortized sense, by designing a PRMT protocol whose round complexity matches the lower bound. The lower bound is the first of its kind, that simultaneously captures the inherent tradeoff between the three important parameters of a PRMT protocol. ISSN 00045411 Age Range 18 to 22 years ♦ above 22 year Educational Use Research Education Level UG and PG Learning Resource Type Article Publisher Date 2012-11-05 Publisher Place New York e-ISSN 1557735X Journal Journal of the ACM (JACM) Volume Number 59 Issue Number 5 Page Count 35 Starting Page 1 Ending Page 35

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Source: ACM Digital Library