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Modeling distributed computing in a way enabling the use of formal methods is a challenge that has been approached from different angles, among which two techniques emerged at the turn of the century: protocol complexes, and directed…

分布式、并行与集群计算 · 计算机科学 2024-03-21 Pierre Fraigniaud , Ami Paz

Let $N$ local decision makers in a sensor network communicate with their neighbors to reach a decision \emph{consensus}. Communication is local, among neighboring sensors only, through noiseless or noisy links. We study the design of the…

信息论 · 计算机科学 2007-07-13 Soummya Kar , Saeed Aldosari , José M. F. Moura

In a random key graph (RKG) of $n$ nodes each node is randomly assigned a key ring of $K_n$ cryptographic keys from a pool of $P_n$ keys. Two nodes can communicate directly if they have at least one common key in their key rings. We assume…

信息论 · 计算机科学 2013-05-03 B. Santhana Krishnan , Ayalvadi Ganesh , D. Manjunath

We extend the notion of distributed decision in the framework of distributed network computing, inspired by recent results on so-called distributed graph automata. We show that, by using distributed decision mechanisms based on the…

分布式、并行与集群计算 · 计算机科学 2016-03-01 Laurent Feuilloley , Pierre Fraigniaud , Juho Hirvonen

An $(\alpha,\beta)$-ruling set of a graph $G=(V,E)$ is a set $R\subseteq V$ such that for any node $v\in V$ there is a node $u\in R$ in distance at most $\beta$ from $v$ and such that any two nodes in $R$ are at distance at least $\alpha$…

数据结构与算法 · 计算机科学 2018-05-21 Fabian Kuhn , Yannic Maus , Simon Weidner

In communication networks theory the concepts of networkness and network surplus have recently been defined. Together with transmission and betweenness centrality, they were based on the assumption of equal communication between vertices.…

组合数学 · 数学 2017-12-05 Suzana Antunović , Tonći Kokan , Tanja Vojković , Damir Vukičević

We find conditions for the connectivity of inhomogeneous random graphs with intermediate density. Our results generalize the classical result for G(n, p), when p = c log n/n. We draw n independent points X_i from a general distribution on a…

概率论 · 数学 2012-10-25 Luc Devroye , Nicolas Fraiman

Given two colorings of a graph, we consider the following problem: can we recolor the graph from one coloring to the other through a series of elementary changes, such that the graph is properly colored after each step? We introduce the…

分布式、并行与集群计算 · 计算机科学 2019-01-18 Marthe Bonamy , Paul Ouvrard , Mikaël Rabie , Jukka Suomela , Jara Uitto

Do unique node identifiers help in deciding whether a network $G$ has a prescribed property $P$? We study this question in the context of distributed local decision, where the objective is to decide whether $G \in P$ by having each node run…

分布式、并行与集群计算 · 计算机科学 2013-12-24 Pierre Fraigniaud , Mika Göös , Amos Korman , Jukka Suomela

The distance of a graph from being triangle-free is a fundamental graph parameter, counting the number of edges that need to be removed from a graph in order for it to become triangle-free. Its corresponding computational problem is the…

分布式、并行与集群计算 · 计算机科学 2024-02-22 Keren Censor-Hillel , Majd Khoury

Distributed aggregation allows the derivation of a given global aggregate property from many individual local values in nodes of an interconnected network system. Simple aggregates such as minima/maxima, counts, sums and averages have been…

分布式、并行与集群计算 · 计算机科学 2012-04-09 Miguel Borges , Paulo Jesus , Carlos Baquero , Paulo Sérgio Almeida

The problem of detecting network structures plays a central role in distributed computing. One of the fundamental problems studied in this area is to determine whether for a given graph $H$, the input network contains a subgraph isomorphic…

分布式、并行与集群计算 · 计算机科学 2018-07-04 Artur Czumaj , Christian Konrad

The Quantum CONGEST model is a variant of the CONGEST model, where messages consist of $O(\log(n))$ qubits. We give a general framework for implementing quantum query algorithms in Quantum CONGEST, using the concept of parallel-queries. We…

量子物理 · 物理学 2022-06-20 Joran van Apeldoorn , Tijn de Vos

In this paper, we prove the existence of fundamental relations between information theory and estimation theory for network-coded flows. When the network is represented by a directed graph G=(V, E) and under the assumption of uncorrelated…

信息论 · 计算机科学 2016-11-17 Samah A. M. Ghanem

We consider the problem of diffusing information in networks that contain malicious nodes. We assume that each normal node in the network has no knowledge of the network topology other than an upper bound on the number of malicious nodes in…

社会与信息网络 · 计算机科学 2012-03-29 Haotian Zhang , Shreyas Sundaram

We consider distributed inference in social networks where a phenomenon of interest evolves over a given social interaction graph, referred to as the \emph{social digraph}. For inference, we assume that a network of agents monitors certain…

社会与信息网络 · 计算机科学 2015-06-18 Mohammadreza Doostmohammadian , Usman A. Khan

We explore the power of interactive proofs with a distributed verifier. In this setting, the verifier consists of $n$ nodes and a graph $G$ that defines their communication pattern. The prover is a single entity that communicates with all…

分布式、并行与集群计算 · 计算机科学 2018-12-31 Moni Naor , Merav Parter , Eylon Yogev

We study the problem of testing conductance in the setting of distributed computing and give a two-sided tester that takes $\mathcal{O}(\log(n) / (\epsilon \Phi^2))$ rounds to decide if a graph has conductance at least $\Phi$ or is…

分布式、并行与集群计算 · 计算机科学 2017-10-20 Hendrik Fichtenberger , Yadu Vasudev

Data aggregation is a fundamental primitive in distributed computing wherein a network computes a function of every nodes' input. However, while compute time is non-negligible in modern systems, standard models of distributed computing do…

数据结构与算法 · 计算机科学 2019-11-14 Bernhard Haeupler , D Ellis Hershkowitz , Anson Kahng , Ariel D. Procaccia

Many machine learning algorithms have been developed under the assumption that data sets are already available in batch form. Yet in many application domains data is only available sequentially overtime via compute nodes in different…

最优化与控制 · 数学 2020-09-10 Alfredo Garcia , Luochao Wang , Jeff Huang , Lingzhou Hong