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Due to the large size of wireless networks, it is often impractical for nodes to track changes in the complete network state. As a result, nodes have to make distributed decisions about their transmission and reception parameters based on…

信息论 · 计算机科学 2014-07-15 Vaneet Aggarwal , Youjian Liu , Ashutosh Sabharwal

Multiple players are each given one independent sample, about which they can only provide limited information to a central referee. Each player is allowed to describe its observed sample to the referee using a channel from a family of…

数据结构与算法 · 计算机科学 2020-10-02 Jayadev Acharya , Clément L. Canonne , Himanshu Tyagi

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 introduce the \emph{graphical reconfigurable circuits (GRC)} model as an abstraction for distributed graph algorithms whose communication scheme is based on local mechanisms that collectively construct long-range reconfigurable channels…

分布式、并行与集群计算 · 计算机科学 2024-08-21 Yuval Emek , Yuval Gil , Noga Harlev

Motivated by the increasing need for fast processing of large-scale graphs, we study a number of fundamental graph problems in a message-passing model for distributed computing, called $k$-machine model, where we have $k$ machines that…

分布式、并行与集群计算 · 计算机科学 2023-02-10 Khalid Hourani , Hartmut Klauck , William K. Moses , Danupon Nanongkai , Gopal Pandurangan , Peter Robinson , Michele Scquizzato

We focus on the well-studied problem of distributed overlay network construction. We consider a synchronous gossip-based communication model where in each round a node can send a message of small size to another node whose identifier it…

分布式、并行与集群计算 · 计算机科学 2023-11-30 Fabien Dufoulon , Michael Moorman , William K. Moses , Gopal Pandurangan

We analyze a distributed information network in which each node has access to the information contained in a limited set of nodes (its neighborhood) at a given time. A collective computation is carried out in which each node calculates a…

社会与信息网络 · 计算机科学 2014-04-18 Antonio Córdoba , Daniel Aguilar-Hidalgo , M. Carmen Lemos

We propose the following model of a random graph on n vertices. Let F be a distribution in R_+^{n(n-1)/2} with a coordinate for every pair i$ with 1 \le i,j \le n. Then G_{F,p} is the distribution on graphs with n vertices obtained by…

组合数学 · 数学 2011-08-09 Alan Frieze , Santosh Vempala , Juan Vera

We revisit the hardness of approximating the diameter of a network. In the CONGEST model of distributed computing, $ \tilde \Omega (n) $ rounds are necessary to compute the diameter [Frischknecht et al. SODA'12], where $ \tilde \Omega…

数据结构与算法 · 计算机科学 2018-03-02 Karl Bringmann , Sebastian Krinninger

In this paper, we study the question of how efficiently a collection of interconnected nodes can perform a global computation in the widely studied GOSSIP model of communication. In this model, nodes do not know the global topology of the…

离散数学 · 计算机科学 2011-04-18 Keren Censor-Hillel , Bernhard Haeupler , Jonathan A. Kelner , Petar Maymounkov

Distributed linear algebraic equation over networks, where nodes hold a part of problem data and cooperatively solve the equation via node-to-node communications, is a basic distributed computation task receiving an increasing research…

最优化与控制 · 数学 2021-04-28 Peng Yi , Jinlong Lei , Yiguang Hong , Jie Chen , Guodong Shi

We consider the problem of constructing distributed overlay networks, where nodes in a reconfigurable system can create or sever connections with nodes whose identifiers they know. Initially, each node knows only its own and its neighbors'…

分布式、并行与集群计算 · 计算机科学 2025-10-14 Yi-Jun Chang , Yanyu Chen , Gopinath Mishra

Let G = (V,E) be an n-vertex graph and M_d a d-vertex graph, for some constant d. Is M_d a subgraph of G? We consider this problem in a model where all n processes are connected to all other processes, and each message contains up to O(log…

分布式、并行与集群计算 · 计算机科学 2012-11-06 Danny Dolev , Christoph Lenzen , Shir Peled

In the CONGEST model, a communications network is an undirected graph whose $n$ nodes are processors and whose $m$ edges are the communications links between processors. At any given time step, a message of size $O(\log n)$ may be sent by…

分布式、并行与集群计算 · 计算机科学 2015-02-12 Valerie King , Shay Kutten , Mikkel Thorup

Random geometric graphs (RGGs) are commonly used to model networked systems that depend on the underlying spatial embedding. We concern ourselves with the probability distribution of an RGG, which is crucial for studying its random…

信息论 · 计算机科学 2018-01-16 Mihai-Alin Badiu , Justin P. Coon

We study stochastic graph optimization problems in a novel distributed setting. As in the standard centralized setting, a random subgraph $G^*$ of a known base graph $G$ is realized by including each edge $e$ independently with a known…

数据结构与算法 · 计算机科学 2026-05-21 Keren Censor-Hillel , Aditi Dudeja , George Giakkoupis

In distributed wireless networks, nodes often do not know the topology (network size, connectivity and the channel gains) of the network. Thus, they have to compute their transmission and reception parameters in a distributed fashion. In…

信息论 · 计算机科学 2009-10-21 Vaneet Aggarwal , Salman Avestimehr , Ashutosh Sabharwal

We consider the problem of constructing a communication infrastructure from scratch, for a collection of identical wireless nodes. Combinatorially, this means a) finding a set of links that form a strongly connected spanning graph on a set…

网络与互联网体系结构 · 计算机科学 2012-10-17 Magnus M. Halldorsson , Pradipta Mitra

In distributed networks, it is often useful for the nodes to be aware of dense subgraphs, e.g., such a dense subgraph could reveal dense subtructures in otherwise sparse graphs (e.g. the World Wide Web or social networks); these might…

分布式、并行与集群计算 · 计算机科学 2012-08-08 Atish Das Sarma , Ashwin Lall , Danupon Nanongkai , Amitabh Trehan

A graph $G=(V,E)$ is a geometric intersection graph if every node $v \in V$ is identified with a geometric object of some particular type, and two nodes are adjacent if the corresponding objects intersect. Geometric intersection graph…

分布式、并行与集群计算 · 计算机科学 2021-12-07 Benjamin Jauregui , Pedro Montealegre , Ivan Rapaport