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This paper examines the structural controllability for a group of agents, called followers, connected to each other based on the consensus law under commands of multiple leaders, which are agents with superior capabilities, over a fixed…

Systems and Control · Computer Science 2018-03-15 Milad M. Kazemi , Mohsen Zamani , Zhiyong Chen

A group behavior of a heterogeneous multi-agent system is studied which obeys an "average of individual vector fields" under strong couplings among the agents. Under stability of the averaged dynamics (not asking stability of individual…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Jin Gyu Lee , Hyungbo Shim

Large Language Models (LLMs) are increasingly instantiated as interacting agents in multi-agent systems (MAS), where collective decisions emerge through social interaction rather than independent reasoning. A fundamental yet underexplored…

Multiagent Systems · Computer Science 2026-01-12 Chen Han , Jin Tan , Bohan Yu , Wenzhen Zheng , Xijin Tang

Topology identification and inference of processes evolving over graphs arise in timely applications involving brain, transportation, financial, power, as well as social and information networks. This chapter provides an overview of graph…

Signal Processing · Electrical Eng. & Systems 2025-12-12 Gonzalo Mateos , Yanning Shen , Georgios B. Giannakis , Ananthram Swami

Graph-based environments pose unique challenges to multi-agent reinforcement learning. In decentralized approaches, agents operate within a given graph and make decisions based on partial or outdated observations. The size of the observed…

Multiagent Systems · Computer Science 2024-06-05 Jannis Weil , Zhenghua Bao , Osama Abboud , Tobias Meuser

Consider the scenario where multiple agents have to move in an optimal way through a network, each one towards their ending position while avoiding collisions. By optimal, we mean as fast as possible, which is evaluated by a measure known…

Computational Complexity · Computer Science 2025-06-02 Foivos Fioravantes , Dušan Knop , Jan Matyáš Křišťan , Nikolaos Melissinos , Michal Opler

We present two main theorems along the lines of Lyapunov's second method that guarantee asymptotic state consensus in multi-agent systems of agents in R^m with switching interconnection topologies. The two theorems complement each other in…

Systems and Control · Computer Science 2014-04-02 Johan Thunberg , Xiaoming Hu

In this paper, multi-agent systems minimizing a sum of objective functions, where each component is only known to a particular node, is considered for continuous-time dynamics with time-varying interconnection topologies. Assuming that each…

Multiagent Systems · Computer Science 2015-03-19 Guodong Shi , Karl Henrik Johansson , Yiguang Hong

It is common knowledge that a key dynamical characteristic of a network is its spectrum (the collection of all eigenvalues of the network's weighted adjacency matrix). In \cite{BW10} we demonstrated that it is possible to reduce a network,…

Dynamical Systems · Mathematics 2015-06-05 Leonid Bunimovich , Benjamin Webb

Most previous studies on multi-agent reinforcement learning focus on deriving decentralized and cooperative policies to maximize a common reward and rarely consider the transferability of trained policies to new tasks. This prevents such…

Machine Learning · Computer Science 2019-11-28 Heechang Ryu , Hayong Shin , Jinkyoo Park

Graph isomorphism is a problem for which there is no known polynomial-time solution. Nevertheless, assessing (dis)similarity between two or more networks is a key task in many areas, such as image recognition, biology, chemistry, computer…

Computation · Statistics 2022-06-28 Pierre Miasnikof , Alexander Y. Shestopaloff , Cristián Bravo , Yuri Lawryshyn

In this paper we study the problem of social learning under multiple true hypotheses and self-interested agents which exchange information over a graph. In this setup, each agent receives data that might be generated from a different…

Multiagent Systems · Computer Science 2021-10-27 Konstantinos Ntemos , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

Researchers have proposed a variety of Internet topology models. However almost all of them focus on generating one graph based on one single static source graph. On the other hand, Internet topology is evolving over time continuously with…

Networking and Internet Architecture · Computer Science 2008-12-31 Lian-dong Liu , Ke Xu

In this work, we present a novel multi-modal multi-agent trajectory prediction architecture, focusing on map and interaction modeling using graph representation. For the purposes of map modeling, we capture rich topological structure into…

Robotics · Computer Science 2022-03-02 Faris Janjoš , Maxim Dolgov , J. Marius Zöllner

A network can be analyzed at different topological scales, ranging from single nodes to motifs, communities, up to the complete structure. We propose a novel intermediate-level topological analysis that considers non-overlapping subgraphs…

Computational Physics · Physics 2009-11-13 Lucas Antiqueira , Luciano da Fontoura Costa

The idea of a collective intelligence behind the complex natural structures built by organisms suggests that the organization of social networks is selected so as to optimize problem-solving competence at the group-level. Here we study the…

Social and Information Networks · Computer Science 2016-09-19 José F. Fontanari , Francisco A. Rodrigues

Large language model(LLM)-driven multi-agent systems(MAS) coordinate specialized agents through predefined interaction topologies and have shown promise for complex tasks such as competition-level code generation. Recent studies demonstrate…

Multiagent Systems · Computer Science 2026-02-20 Siyu Wang , Ruotian Lu , Zhihao Yang , Yuchao Wang , Yanzhou Zhang , Lei Xu , Qimin Xu , Guojun Yin , Cailian Chen , Xinping Guan

We propose and analyze a graph model to study the connectivity of interdependent networks. Two interdependent networks of arbitrary topologies are modeled as two graphs, where every node in one graph is supported by supply nodes in the…

Discrete Mathematics · Computer Science 2018-09-10 Jianan Zhang , Eytan Modiano

Exploring the collective behavior of interacting entities is of great interest and importance. Rather than focusing on static and uniform connections, we examine the co-evolution of diverse mobile agents experiencing varying interactions…

Physics and Society · Physics 2023-10-16 Guram Mikaberidze , Sayantan Nag Chowdhury , Alan Hastings , Raissa M. DSouza

This paper studies whether a planner who only has information about the network topology can discriminate among agents according to their network position. The planner proposes a simple menu of contracts, one for each location, in order to…

Theoretical Economics · Economics 2020-01-10 Francis Bloch , Shaden Shabayek