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We study lower bounds on information dissemination in adversarial dynamic networks. Initially, k pieces of information (henceforth called tokens) are distributed among n nodes. The tokens need to be broadcast to all nodes through a…

数据结构与算法 · 计算机科学 2012-08-31 Bernhard Haeupler , Fabian Kuhn

This paper develops a new technique for proving amortized, randomized cell-probe lower bounds on dynamic data structure problems. We introduce a new randomized nondeterministic four-party communication model that enables "accelerated",…

数据结构与算法 · 计算机科学 2016-04-12 Omri Weinstein , Huacheng Yu

In this paper we improve the deterministic complexity of two fundamental communication primitives in the classical model of ad-hoc radio networks with unknown topology: broadcasting and wake-up. We consider an unknown radio network, in…

分布式、并行与集群计算 · 计算机科学 2019-03-19 Artur Czumaj , Peter Davies

Motivated by applications to sensor networks, as well as to many other areas, this paper studies the construction of minimum-degree spanning trees. We consider the classical node-register state model, with a weakly fair scheduler, and we…

分布式、并行与集群计算 · 计算机科学 2014-02-12 Lélia Blin , Pierre Fraigniaud

The Gap-Hamming-Distance problem arose in the context of proving space lower bounds for a number of key problems in the data stream model. In this problem, Alice and Bob have to decide whether the Hamming distance between their $n$-bit…

计算复杂性 · 计算机科学 2009-02-17 Joshua Brody , Amit Chakrabarti

We introduce a compressed suffix array representation that, on a text $T$ of length $n$ over an alphabet of size $\sigma$, can be built in $O(n)$ deterministic time, within $O(n\log\sigma)$ bits of working space, and counts the number of…

数据结构与算法 · 计算机科学 2017-09-05 J. Ian Munro , Gonzalo Navarro , Yakov Nekrich

It was suggested that a programmable matter system (composed of multiple computationally weak mobile particles) should remain connected at all times since otherwise, reconnection is difficult and may be impossible. At the same time, it was…

分布式、并行与集群计算 · 计算机科学 2021-06-03 Fabien Dufoulon , Shay Kutten , William K. Moses

Radio networks (RN) are distributed systems (\textit{ad hoc networks}) consisting in $n \ge 2$ radio stations. Assuming the number $n$ unknown, two distinct models of RN without collision detection (\textit{no-CD}) are addressed: the model…

分布式、并行与集群计算 · 计算机科学 2007-05-23 Christian Lavault , Jean-François Marckert , Vlady Ravelomanana

We study the $k$-edge connectivity problem on undirected graphs in the distributed sketching model, where we have $n$ nodes and a referee. Each node sends a single message to the referee based on its 1-hop neighborhood in the graph, and the…

数据结构与算法 · 计算机科学 2026-02-10 Peter Robinson , Ming Ming Tan

We present a uniform self-stabilizing algorithm, which solves the problem of distributively finding a minimum diameter spanning tree of an arbitrary positively real-weighted graph. Our algorithm consists in two stages of stabilizing…

分布式、并行与集群计算 · 计算机科学 2013-12-12 Franck Butelle , Christian Lavault , Marc Bui

Guerraoui proposed an indulgent solution for the binary consensus problem. Namely, he showed that an arbitrary behavior of the failure detector never violates safety requirements even if it compromises liveness. Consensus implementations…

分布式、并行与集群计算 · 计算机科学 2020-10-13 Oskar Lundström , Michel Raynal , Elad Michael Schiller

Broadcast is a ubiquitous distributed computing problem that underpins many other system tasks. In static, connected networks, it was recently shown that broadcast is solvable without any node memory and only constant-size messages in…

分布式、并行与集群计算 · 计算机科学 2024-07-16 Garrett Parzych , Joshua J. Daymude

We consider the following distributed consensus problem: Each node in a complete communication network of size $n$ initially holds an \emph{opinion}, which is chosen arbitrarily from a finite set $\Sigma$. The system must converge toward a…

分布式、并行与集群计算 · 计算机科学 2015-08-28 Luca Becchetti , Andrea Clementi , Emanuele Natale , Francesco Pasquale , Luca Trevisan

Leader election is one of the basic problems in distributed computing. For anonymous networks, the task of leader election is formulated as follows: every node v of the network must output a simple path, which is coded as a sequence of port…

数据结构与算法 · 计算机科学 2016-04-19 Yoann Dieudonné , Andrzej Pelc

We consider the minimal k-grouping problem: given a graph G=(V,E) and a constant k, partition G into subgraphs of diameter no greater than k, such that the union of any two subgraphs has diameter greater than k. We give a silent…

分布式、并行与集群计算 · 计算机科学 2019-07-26 Ajoy K. Datta , Lawrence L. Larmore , Toshimitsu Masuzawa , Yuichi Sudo

Leader election is a basic symmetry breaking problem in distributed computing. All nodes of a network have to agree on a single node, called the leader. If the nodes of the network have distinct labels, then agreeing on a single node means…

分布式、并行与集群计算 · 计算机科学 2017-02-20 Barun Gorain , Andrzej Pelc

We present a novel self-stabilizing algorithm for minimum spanning tree (MST) construction. The space complexity of our solution is $O(\log^2n)$ bits and it converges in $O(n^2)$ rounds. Thus, this algorithm improves the convergence time of…

分布式、并行与集群计算 · 计算机科学 2010-07-26 Lélia Blin , Shlomi Dolev , Maria Potop-Butucaru , Stephane Rovedakis

We present a novel self-stabilizing algorithm for minimum spanning tree (MST) construction. The space complexity of our solution is $O(\log^2n)$ bits and it converges in $O(n^2)$ rounds. Thus, this algorithm improves the convergence time of…

分布式、并行与集群计算 · 计算机科学 2013-11-05 Lélia Blin , Shlomi Dolev , Maria Gradinariu Potop-Butucaru , Stephane Rovedakis

Population protocols are a relatively novel computational model in which very resource-limited anonymous agents interact in pairs with the goal of computing predicates. We consider the probabilistic version of this model, which naturally…

分布式、并行与集群计算 · 计算机科学 2022-09-20 Vladyslav Melnychuk

We present deterministic constant-round protocols for the graph connectivity problem in the model where each of the $n$ nodes of a graph receives a row of the adjacency matrix, and broadcasts a single sublinear size message to all other…

分布式、并行与集群计算 · 计算机科学 2017-06-13 Pedro Montealegre , Ioan Todinca