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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…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Arindam Saha , James A. R. Marshall , Andreagiovanni Reina

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…

Networking and Internet Architecture · Computer Science 2012-10-17 Magnus M. Halldorsson , Pradipta Mitra

Understanding structural controllability of a complex network requires to identify a Minimum Input nodes Set (MIS) of the network. It has been suggested that finding an MIS is equivalent to computing a maximum matching of the network, where…

Discrete Mathematics · Computer Science 2022-06-02 Xizhe Zhang , Jianfei Han , Weixiong Zhang

Random linear network codes can be designed and implemented in a distributed manner, with low computational complexity. However, these codes are classically implemented over finite fields whose size depends on some global network parameters…

Information Theory · Computer Science 2010-08-04 Tracey Ho , Sidharth Jaggi , Svitlana Vyetrenko , Lingxiao Xia

Relations between discrete quantities such as people, genes, or streets can be described by networks, which consist of nodes that are connected by edges. Network analysis aims to identify important nodes in a network and to uncover…

Numerical Analysis · Mathematics 2021-09-21 A. Concas , S. Noschese , L. Reichel , G. Rodriguez

Several high-throughput distributed data-processing applications require multi-hop processing of streams of data. These applications include continual processing on data streams originating from a network of sensors, composing a multimedia…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-03-26 Shah Asaduzzaman , Muthucumaru Maheswaran

Finding the set of nodes, which removed or (de)activated can stop the spread of (dis)information, contain an epidemic or disrupt the functioning of a corrupt/criminal organization is still one of the key challenges in network science. In…

Social and Information Networks · Computer Science 2019-03-26 Xiao-Long Ren , Niels Gleinig , Dirk Helbing , Nino Antulov-Fantulin

The problem of node-centric, or local, community detection in information networks refers to the identification of a community for a given input node, having limited information about the network topology. Existing methods for solving this…

Social and Information Networks · Computer Science 2017-04-12 Roberto Interdonato , Andrea Tagarelli , Dino Ienco , Arnaud Sallaberry , Pascal Poncelet

Distributed averaging is among the most relevant cooperative control problems, with applications in sensor and robotic networks, distributed signal processing, data fusion, and load balancing. Consensus and gossip algorithms have been…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Christel Sirocchi , Alessandro Bogliolo

Among the novel metrics used to study the relative importance of nodes in complex networks, k-core decomposition has found a number of applications in areas as diverse as sociology, proteinomics, graph visualization, and distributed system…

Other Computer Science · Computer Science 2011-03-30 Alberto Montresor , Francesco De Pellegrini , Daniele Miorandi

Network dismantling is a relevant research area in network science, gathering attention both from a theoretical and an operational point of view. Here, we propose a general framework for dismantling that prioritizes the removal of nodes…

Physics and Society · Physics 2022-09-29 Federico Musciotto , Salvatore Micciché

Complex networks have become essential tools for understanding diverse phenomena in social systems, traffic systems, biomolecular systems, and financial systems. Identifying critical nodes is a central theme in contemporary research,…

Social and Information Networks · Computer Science 2025-09-16 Duxin Chen , Jiawen Chen , Xiaoyu Zhang , Qinghan Jia , Xiaolu Liu , Ye Sun , Linyuan Lv , Wenwu Yu

We present an approach to obtain convergence guarantees of optimization algorithms for deep networks based on elementary arguments and computations. The convergence analysis revolves around the analytical and computational structures of…

Machine Learning · Computer Science 2021-01-01 Vincent Roulet , Zaid Harchaoui

Network (or Graph) Alignment Algorithms aims to reveal structural similarities among graphs. In particular Local Network Alignment Algorithms (LNAs) finds local regions of similarity among two or more networks. Such algorithms are in…

Social and Information Networks · Computer Science 2020-08-12 Pietro Hiram Guzzi

We develop an algorithm to detect community structure in complex networks. The algorithm is based on spectral methods and takes into account weights and links orientations. Since the method detects efficiently clustered nodes in large…

Disordered Systems and Neural Networks · Physics 2009-11-10 Andrea Capocci , Vito D. P. Servedio , Guido Caldarelli , Francesca Colaiori

The problem of unsupervised learning node embeddings in graphs is one of the important directions in modern network science. In this work we propose a novel framework, which is aimed to find embeddings by \textit{discriminating…

Machine Learning · Statistics 2020-01-24 Stanislav Tsepa , Maxim Panov

Adaptive networks are suitable for decentralized inference tasks, e.g., to monitor complex natural phenomena. Recent research works have intensively studied distributed optimization problems in the case where the nodes have to estimate a…

Multiagent Systems · Computer Science 2023-07-19 Jie Chen , Cédric Richard , Ali. H. Sayed

The goal of decentralized optimization over a network is to optimize a global objective formed by a sum of local (possibly nonsmooth) convex functions using only local computation and communication. It arises in various application domains,…

Optimization and Control · Mathematics 2015-03-17 John Duchi , Alekh Agarwal , Martin Wainwright

Recent development of network structure analysis shows that it plays an important role in characterizing complex system of many branches of sciences. Different from previous network centrality measures, this paper proposes the notion of…

Information Retrieval · Computer Science 2009-02-12 Hai Zhuge , Junsheng Zhang

In multi-agent systems, strong connectivity of the communication network is often crucial for establishing consensus protocols, which underpin numerous applications in decision-making and distributed optimization. However, this connectivity…

Optimization and Control · Mathematics 2024-11-12 Guilherme Ramos , Diogo Poças , Sérgio Pequito
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