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Routing information through networks is a universal phenomenon in both natural and manmade complex systems. When each node has full knowledge of the global network connectivity, finding short communication paths is merely a matter of…

物理与社会 · 物理学 2009-05-20 Marian Boguna , Dmitri Krioukov , kc claffy

A standard model in network synchronised distributed computing is the LOCAL model. In this model, the processors work in rounds and, in the classic setting, they know the number of vertices of the network, $n$. Using $n$, they can compute…

分布式、并行与集群计算 · 计算机科学 2015-05-20 Laurent Feuilloley

For successful estimation, the usual network tomography algorithms crucially require i) end-to-end data generated using multicast probe packets, real or emulated, and ii) the network to be a tree rooted at a single sender with destinations…

网络与互联网体系结构 · 计算机科学 2012-11-02 Gugan Thoppe

Graphical models have been widely applied in solving distributed inference problems in sensor networks. In this paper, the problem of coordinating a network of sensors to train a unique ensemble estimator under communication constraints is…

分布式、并行与集群计算 · 计算机科学 2016-11-17 Haipeng Zheng , Sanjeev R. Kulkarni , H. Vincent Poor

Information dissemination is a fundamental problem in parallel and distributed computing. In its simplest variant, the broadcasting problem, a message has to be spread among all nodes of a graph. A prominent communication protocol for this…

数据结构与算法 · 计算机科学 2014-12-10 Robert Elsässer , Dominik Kaaser

Graph learning is often a necessary step in processing or representing structured data, when the underlying graph is not given explicitly. Graph learning is generally performed centrally with a full knowledge of the graph signals, namely…

信号处理 · 电气工程与系统科学 2021-12-14 Isabela Cunha Maia Nobre , Mireille El Gheche , Pascal Frossard

This paper addresses the problem of distributed learning under communication constraints, motivated by distributed signal processing in wireless sensor networks and data mining with distributed databases. After formalizing a general model…

机器学习 · 计算机科学 2016-11-15 Joel B. Predd , Sanjeev R. Kulkarni , H. Vincent Poor

We study common randomness generation problems where $n$ players aim to generate same sequences of random coin flips where some subsets of the players share an independent common coin which can be tossed multiple times, and there is a…

Node counting on a graph is subject to some fundamental theoretical limitations, yet a solution to such problems is necessary in many applications of graph theory to real-world systems, such as collective robotics and distributed sensor…

分布式、并行与集群计算 · 计算机科学 2020-05-29 Arindam Saha , James A. R. Marshall , Andreagiovanni Reina

The dominating set problem has many practical applications but is well-known to be NP-hard. Therefore, there is a need for efficient approximation algorithms, especially in applications such as ad hoc wireless networks. Most distributed…

物理与社会 · 物理学 2023-05-16 Hunter Rehm , Robert Kassouf-Short , Puck Rombach

We consider several basic questions on distributed routing in directed graphs with multiple additive costs, or metrics, and multiple constraints. Distributed routing in this sense is used in several protocols, such as IS-IS and OSPF. A…

网络与互联网体系结构 · 计算机科学 2023-10-12 Sergey Komech , Andrey Kupavskii , Alexei Vezolainen

This paper studies distributed stochastic approximation algorithms based on broadcast gossip on communication networks represented by digraphs. Weak convergence of these algorithms is proved, and an associated ordinary differential equation…

应用统计 · 统计学 2016-09-05 Miloš S. Stanković , Nemanja Ilić , Srdjan S. Stanković

Among the classical models for interconnection networks are hypercubes and Fibonacci cubes. Fibonacci cubes are induced subgraphs of hypercubes obtained by restricting the vertex set to those binary strings which do not contain consecutive…

组合数学 · 数学 2021-01-29 Ömer Eğecioğlu , Vesna Iršič

In the standard CONGEST model for distributed network computing, it is known that "global" tasks such as minimum spanning tree, diameter, and all-pairs shortest paths, consume large bandwidth, for their running-time is…

分布式、并行与集群计算 · 计算机科学 2017-06-14 Pierre Fraigniaud , Pedro Montealegre , Dennis Olivetti , Ivan Rapaport , Ioan Todinca

Many real-world networks are intrinsically directed. Such networks include activation of genes, hyperlinks on the internet, and the network of followers on Twitter among many others. The challenge, however, is to create a network model that…

社会与信息网络 · 计算机科学 2022-04-15 Jesse Michel , Sushruth Reddy , Rikhav Shah , Sandeep Silwal , Ramis Movassagh

We present a novel distributed algorithm for counting all four-node induced subgraphs in a big graph. These counts, called the $4$-profile, describe a graph's connectivity properties and have found several uses ranging from bioinformatics…

社会与信息网络 · 计算机科学 2016-04-05 Ethan R. Elenberg , Karthikeyan Shanmugam , Michael Borokhovich , Alexandros G. Dimakis

In this paper, we give an analytic solution for graphs with n nodes and E edges for which the probability of obtaining a given graph G is specified in terms of the degree sequence of G. We describe how this model naturally appears in the…

概率论 · 数学 2008-10-20 M. Draief , A. Ganesh , L. Massoulie

Performance of standard processes over large distributed networks typically scales with the size of the network. For example, in planar topologies where nodes communicate with their natural neighbors, the scaling factor is $O(n)$, where $n$…

分布式、并行与集群计算 · 计算机科学 2019-02-18 Abhinav Mishra

Large real-life complex networks are often modeled by various random graph constructions and hundreds of further references therein. In many cases it is not at all clear how the modeling strength of differently generated random graph model…

数据结构与算法 · 计算机科学 2020-09-01 András Faragó , Rupei Xu

Network or graph structures are ubiquitous in the study of complex systems. Often, we are interested in complexity trends of these system as it evolves under some dynamic. An example might be looking at the complexity of a food web as…

信息论 · 计算机科学 2007-07-16 Russell K. Standish