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Network scientists have shown that there is great value in studying pairwise interactions between components in a system. From a linear algebra point of view, this involves defining and evaluating functions of the associated adjacency…

Social and Information Networks · Computer Science 2021-08-25 Francesco Tudisco , Desmond J. Higham

A degree-corrected distribution-free model is proposed for weighted social networks with latent structural information. The model extends the previous distribution-free models by considering variation in node degree to fit real-world…

Social and Information Networks · Computer Science 2024-04-08 Huan Qing

This paper proposes a new architecture for multi-agent systems to cover an unknowingly distributed fast, safely, and decentralizedly. The inter-agent communication is organized by a directed graph with fixed topology, and we model agent…

Systems and Control · Electrical Eng. & Systems 2023-07-11 Hossein Rastgoftar

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…

Optimization and Control · Mathematics 2021-04-28 Peng Yi , Jinlong Lei , Yiguang Hong , Jie Chen , Guodong Shi

System performance for networks composed of interconnected subsystems can be increased if the traditionally separated subsystems are jointly optimized. Recently, parallel and distributed optimization methods have emerged as a powerful tool…

Optimization and Control · Mathematics 2013-02-14 Ion Necoara , Valentin Nedelcu , Ioan Dumitrache

In this paper, the recent developments on distributed coordination control, especially the consensus and formation control, are summarized with the graph theory playing a central role, in order to present a cohesive overview of the…

Multiagent Systems · Computer Science 2015-05-12 Xiangke Wang , Xun Li , Yirui Cong , Zhiwen Zeng , Zhiqiang Zheng

Signed networks have been a topic of recent interest in the network control community as they allow studying antagonistic interactions in multi-agent systems. Although dynamical characteristics of signed networks have been well-studied,…

Optimization and Control · Mathematics 2017-07-13 Siavash Alemzadeh , Mathias Hudoba de Badyn , Mehran Mesbahi

This paper investigates the distributed continuous-time nonconvex optimization problem over unbalanced directed networks. The objective is to cooperatively drive all the agent states to an optimal solution that minimizes the sum of the…

Optimization and Control · Mathematics 2022-12-01 Jin Zhang , Yahui Hao , Lu Liu , Haibo Ji

We consider the problem of allocating a fixed amount of resource among nodes in a network when each node suffers a cost which is a convex function of the amount of resource allocated to it. We propose a new deterministic and distributed…

Optimization and Control · Mathematics 2016-06-14 Thinh T. Doan , Alex Olshevsky

When analyzing the statistical and topological characteristics of complex networks, an effective and convenient way is to compute the centralities for recognizing influential and significant nodes or structures, yet most of them are…

Social and Information Networks · Computer Science 2018-05-08 Xiangnan Feng , Wei Wei , Jiannan Wang , Ying Shi , Zhiming Zheng

Centrality measures have been defined to quantify the importance of a node in complex networks. The relative importance of a node can be measured using its centrality rank based on the centrality value. In the present work, we predict the…

Social and Information Networks · Computer Science 2016-11-29 Akrati Saxena , Vaibhav Malik , S. R. S. Iyengar

Consensus strategies find a variety of applications in distributed coordination and decision making in multi-agent systems. In particular, average consensus plays a key role in a number of applications and is closely associated with two…

Multiagent Systems · Computer Science 2012-10-17 Themistoklis Charalambous , Christoforos N. Hadjicostis

Distributed estimation and processing in networks modeled by graphs have received a great deal of interest recently, due to the benefits of decentralised processing in terms of performance and robustness to communications link failure…

Multiagent Systems · Computer Science 2016-11-29 C. T. Healy , R. C. de Lamare

The methods of non-homogeneous random graphs calibration are developed for social networks simulation. The graphs are calibrated by the degree distributions of the vertices and the edges. The mathematical foundation of the methods is formed…

Social and Information Networks · Computer Science 2019-04-05 V. N. Zadorozhnyi , E. B. Yudin

This paper characterizes the difficulty of estimating a network's eigenvector centrality only from data on the nodes, i.e., with no information about the topology of the network. We model this nodal data as graph signals generated by…

Social and Information Networks · Computer Science 2020-05-05 T. Mitchell Roddenberry , Santiago Segarra

With its origin in sociology, Social Network Analysis (SNA), quickly emerged and spread to other areas of research, including anthropology, biology, information science, organizational studies, political science, and computer science. Being…

Social and Information Networks · Computer Science 2018-08-10 Mário Cordeiro , Rui Portocarrero Sarmento , Pavel Brazdil , João Gama

Preferential attachment in a directed scale-free graph is widely used to model the evolution of social networks. Statistical analyses of social networks often relies on node based data rather than conventional repeated sampling. For our…

Probability · Mathematics 2015-10-02 Tiandong Wang , Sidney I. Resnick

We introduce a new centrality measure that characterizes the participation of each node in all subgraphs in a network. Smaller subgraphs are given more weight than larger ones, which makes this measure appropriate for characterizing network…

Statistical Mechanics · Physics 2009-11-11 Ernesto Estrada , Juan A. Rodriguez-Velazquez

Key graph-based problems play a central role in understanding network topology and uncovering patterns of similarity in homogeneous and temporal data. Such patterns can be revealed by analyzing communities formed by nodes, which in turn can…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-02 Davide Rucci , Emanuele Carlini , Patrizio Dazzi , Hanna Kavalionak , Matteo Mordacchini

The value of a social network is generally determined by its size and the connectivity of its nodes. But since some of the nodes may be fake ones and others that are dormant, the question of validating the node counts by statistical tests…

Social and Information Networks · Computer Science 2015-06-11 Sieteng Soh , Gongqi Lin , Subhash Kak