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Navigation on graphs is the problem how an agent walking on the graph can get from a source to a target with limited information about the graph. The information and the way to exploit it can vary. In this paper, we study navigation on…

Populations and Evolution · Quantitative Biology 2018-10-17 Sang Hoon Lee , Petter Holme

During the last decade of network research focusing on structural and dynamical properties of networks, the role of network users has been more or less underestimated from the bird's-eye view of global perspective. In this era of global…

Physics and Society · Physics 2013-04-18 Sang Hoon Lee , Petter Holme

This paper mainly investigates why small-world networks are navigable and how to navigate small-world networks. We find that the navigability can naturally emerge from self-organization in the absence of prior knowledge about underlying…

Social and Information Networks · Computer Science 2015-05-20 Zhao Zhuo , Shi-Min Cai , Zhong-Qian Fu , Wen-Xu Wang

We propose a dynamical process for network evolution, aiming at explaining the emergence of the small world phenomenon, i.e., the statistical observation that any pair of individuals are linked by a short chain of acquaintances computable…

Data Structures and Algorithms · Computer Science 2008-03-04 Augustin Chaintreau , Pierre Fraigniaud , Emmanuelle Lebhar

Information routing is one of the main tasks in many complex networks with a communication function. Maps produced by embedding the networks in hyperbolic space can assist this task enabling the implementation of efficient navigation…

Physics and Society · Physics 2017-09-11 Elisenda Ortiz , Michele Starnini , M. Ángeles Serrano

Navigability of networks, that is the ability to find any given destination vertex starting from any other vertex, is crucial to their usefulness. In 2000 Kleinberg showed that optimal navigability could be achieved in small-world networks…

Statistical Mechanics · Physics 2015-05-13 Cecile Caretta Cartozo , Paolo De Los Rios

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…

Physics and Society · Physics 2009-05-20 Marian Boguna , Dmitri Krioukov , kc claffy

Navigability, an ability to find a logarithmically short path between elements using only local information, is one of the most fascinating properties of real-life networks. However, the exact mechanism responsible for the formation of…

Physics and Society · Physics 2016-07-26 Yury A. Malkov , Alexander Ponomarenko

To investigate the role of information flow in group formation, we introduce a model of communication and social navigation. We let agents gather information in an idealized network society, and demonstrate that heterogeneous groups can…

Physics and Society · Physics 2009-03-04 M. Rosvall , K. Sneppen

We model a system of networking agents that seek to optimize their centrality in the network while keeping their cost, the number of connections they are participating in, low. Unlike other game-theory based models for network evolution,…

Populations and Evolution · Quantitative Biology 2007-05-23 Petter Holme , Gourab Ghoshal

Network navigability is a key feature of complex networked systems. For a network embedded in a geometrical space, maximization of greedy routing (GR) measures based on the node geometrical coordinates can ensure efficient greedy…

Physics and Society · Physics 2019-01-24 Alessandro Muscoloni , Carlo Vittorio Cannistraci

The real world is awash with multi-agent problems that require collective action by self-interested agents, from the routing of packets across a computer network to the management of irrigation systems. Such systems have local incentives…

Multiagent Systems · Computer Science 2021-02-16 Michiel A. Bakker , Richard Everett , Laura Weidinger , Iason Gabriel , William S. Isaac , Joel Z. Leibo , Edward Hughes

Localization and tracking of moving nodes via network navigation gives rise to a new paradigm, where nodes exploit both temporal and spatial cooperation to infer their positions based on intra- and inter-node measurements. While such…

Information Theory · Computer Science 2011-12-16 Yuan Shen , Santiago Mazuelas , Moe Z. Win

Greedy navigation/routing plays an important role in geometric routing of networks because of its locality and simplicity. This can operate in geometrically embedded networks in a distributed manner, distances are calculated based on…

Biological Physics · Physics 2021-11-09 Zalan heszberger , Andras Majdan , Andras Biro , Andras Gulyas , Laszlo Balazs , Vilmos Nemeth , Jozsef Biro

Collaboration is a fundamental and essential characteristic of many complex systems, ranging from ant colonies to human societies. Each component within a complex system interacts with others, even at a distance, to accomplish a given task.…

Multiagent Systems · Computer Science 2025-09-04 Mehdi Bakhshipoor , Yousef Azizi , Seyed Ehsan Nedaaee Oskoee

We propose a information theoretical framework to capture transition and information costs of network navigation models. Based on the minimum description length principle and the Markov decision process, we demonstrate that efficient global…

Social and Information Networks · Computer Science 2020-01-14 Xiaoran Yan , Olaf Sporns , Andrea Avena-Koenigsberger

The ultimate navigation efficiency of mobile robots in human environments will depend on how we will appraise them: merely as impersonal machines or as human-like agents. In the latter case, an agent may take advantage of the cooperative…

Information delivery in a network of agents is a key issue for large, complex systems that need to do so in a predictable, efficient manner. The delivery of information in such multi-agent systems is typically implemented through routing…

Computer Science and Game Theory · Computer Science 2016-06-27 Omer Lev , Moshe Tennenholtz , Aviv Zohar

Today's networks consist of many autonomous entities that follow their own objectives, i.e., smart devices or parts of large AI systems, that are interconnected. Given the size and complexity of most communication networks, each entity…

Computer Science and Game Theory · Computer Science 2026-02-02 Pascal Lenzner , Paraskevi Machaira

We investigate efficient methods for packets to navigate in complex networks. The packets are assumed to have memory, but no previous knowledge of the graph. We assume the graph to be indexed, i.e. every vertex is associated with a number…

Computational Physics · Physics 2009-06-09 Petter Holme
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