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The work establishes fundamental limits with respect to rate, reliability and computational complexity, for a general setting of outage-limited MIMO communications. In the high-SNR regime, the limits are optimized over all encoders, all…

Information Theory · Computer Science 2010-06-24 Petros Elia , Joakim Jalden

By classic results in social choice theory, any reasonable preferential voting method sometimes gives individuals an incentive to report an insincere preference. The extent to which different voting methods are more or less resistant to…

Artificial Intelligence · Computer Science 2025-02-25 Wesley H. Holliday , Alexander Kristoffersen , Eric Pacuit

The population protocol model is a computational model for passive mobile agents. We address the leader election problem, which determines a unique leader on arbitrary communication graphs starting from any configuration. Unfortunately,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-10 Haruki Kanaya , Ryota Eguchi , Taisho Sasada , Michiko Inoue

A sender wishes to broadcast a message of length $n$ over an alphabet to $r$ users, where each user $i$, $1 \leq i \leq r$ should be able to receive one of $m_i$ possible messages. The broadcast channel has noise for each of the users…

Information Theory · Computer Science 2011-12-30 Amit Weinstein

The winner determination problems of many attractive multi-winner voting rules are NP-complete. However, they often admit polynomial-time algorithms when restricting inputs to be single-peaked. Commonly, such algorithms employ dynamic…

Computer Science and Game Theory · Computer Science 2021-04-20 Dominik Peters

Energy is often the most constrained resource in networks of battery-powered devices, and as devices become smaller, they spend a larger fraction of their energy on communication (transceiver usage) not computation. As an imperfect proxy…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-06 Yi-Jun Chang , Varsha Dani , Thomas P. Hayes , Qizheng He , Wenzheng Li , Seth Pettie

We prove a lower bound of Omega(log n/loglog n) for the remote memory reference (RMR) complexity of abortable test-and-set (leader election) in the cache-coherent (CC) and the distributed shared memory (DSM) model. This separates the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Aryaz Eghbali , Philipp Woelfel

We introduce a new information-theoretic complexity measure $IC_\infty$ for 2-party functions which is a lower-bound on communication complexity, and has the two leading lower-bounds on communication complexity as its natural relaxations:…

Computational Complexity · Computer Science 2016-06-29 Manoj M. Prabhakaran , Vinod M. Prabhakaran

Quantum teleportation uses prior shared entanglement and classical communication to send an unknown quantum state from one party to another. Remote state preparation (RSP) is a similar distributed task in which the sender knows the entire…

Quantum Physics · Physics 2018-05-15 Shima Bab Hadiashar , Ashwin Nayak , Renato Renner

We propose a protocol to solve Leader Election within weak communication models such as the beeping model or the stone-age model. Unlike most previous work, our algorithm operates on only six states, does not require unique identifiers, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-05 Robin Vacus , Isabella Ziccardi

Information theoretically secure multi-party computation (MPC) is a central primitive of modern cryptography. However, relatively little is known about the communication complexity of this primitive. In this work, we develop powerful…

Cryptography and Security · Computer Science 2014-04-15 Deepesh Data , Vinod M. Prabhakaran , Manoj M. Prabhakaran

The first step in classifying the complexity of an NP problem is typically showing the problem in P or NP-complete. This has been a successful first step for many problems, including voting problems. However, in this paper we show that this…

Computer Science and Game Theory · Computer Science 2022-07-08 Zack Fitzsimmons , Edith Hemaspaandra

This paper focuses on bounding the total communication complexity of collapsing protocols for multiparty pointer jumping problem ($MPJ_k^n$). Brody and Chakrabati in \cite{bc08} proved that in such setting one of the players must…

Computational Complexity · Computer Science 2014-05-30 Michał Jastrzębski

We consider the energy complexity of the leader election problem in the single-hop radio network model, where each device has a unique identifier in $\{1, 2, \ldots, N\}$. Energy is a scarce resource for small battery-powered devices. For…

Data Structures and Algorithms · Computer Science 2021-11-15 Yi-Jun Chang , Ran Duan , Shunhua Jiang

The classical communication complexity of testing closeness of discrete distributions has recently been studied by Andoni, Malkin and Nosatzki (ICALP'19). In this problem, two players each receive $t$ samples from one distribution over…

Computational Complexity · Computer Science 2023-12-29 Aleksandrs Belovs , Arturo Castellanos , François Le Gall , Guillaume Malod , Alexander A. Sherstov

We consider an instance of the following problem: Parties P_1,..., P_k each receive an input x_i, and a coordinator (distinct from each of these parties) wishes to compute f(x_1,..., x_k) for some predicate f. We are interested in one-round…

Computational Complexity · Computer Science 2013-01-22 Daniel Apon , Jonathan Katz , Alex J. Malozemoff

We consider the standard two-party communication model. The central problem studied in this article is how much one can save in information complexity by allowing an error of $\epsilon$. For arbitrary functions, we obtain lower bounds and…

Computational Complexity · Computer Science 2016-11-22 Yuval Dagan , Yuval Filmus , Hamed Hatami , Yaqiao Li

Machine-to-Machine (M2M) communication is an important type of communication in the Internet-of-Things (IoT). How to send data in these high-density communications using relay selection can help improve the performance of this type of…

Networking and Internet Architecture · Computer Science 2022-01-11 Monireh Allah Gholi Ghasri , Ali Mohammad Afshin Hemmatyar

Equality and disjointness are two of the most studied problems in communication complexity. They have been studied for both classical and also quantum communication and for various models and modes of communication. Buhrman et al. [Buh98]…

Computational Complexity · Computer Science 2013-10-01 Jozef Gruska , Daowen Qiu , Shenggen Zheng

The problem of increasing the centrality of a network node arises in many practical applications. In this paper, we study the optimization problem of maximizing the information centrality $I_v$ of a given node $v$ in a network with $n$…

Social and Information Networks · Computer Science 2018-04-19 Liren Shan , Yuhao Yi , Zhongzhi Zhang