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The mathematical study of the small-world concept has fostered quite some interest, showing that small-world features can be identified for some abstract classes of networks. However, passing to real complex systems, as for instance…

Statistical Mechanics · Physics 2009-11-07 Vito Latora , Massimo Marchiori

The paper deals with the distributed minimum sharing problem: a set of decision-makers compute the minimum of some local quantities of interest in a distributed and decentralized way by exchanging information through a communication…

Systems and Control · Electrical Eng. & Systems 2021-06-28 Michelangelo Bin , Thomas Parisini

We introduce Diffusion World Model (DWM), a conditional diffusion model capable of predicting multistep future states and rewards concurrently. As opposed to traditional one-step dynamics models, DWM offers long-horizon predictions in a…

Machine Learning · Computer Science 2024-10-17 Zihan Ding , Amy Zhang , Yuandong Tian , Qinqing Zheng

We propose a dynamical model in which a network structure evolves in a self-organized critical (SOC) manner and explain a possible origin of the emergence of fractal and small-world networks. Our model combines a network growth and its…

Physics and Society · Physics 2015-07-22 Akitomo Watanabe , Shogo Mizutaka , Kousuke Yakubo

We consider a Mobile Ad-hoc NETworks (MANET) formed by "n" nodes that move independently at random over a finite square region of the plane. Nodes exchange data if they are at distance at most "r" within each other, where r>0 is the node…

Discrete Mathematics · Computer Science 2009-03-04 Andrea E. F. Clementi , Francesco Pasquale , Riccardo Silvestri

We introduce the concept of efficiency of a network, measuring how efficiently it exchanges information. By using this simple measure small-world networks are seen as systems that are both globally and locally efficient. This allows to give…

Condensed Matter · Physics 2009-11-07 Vito Latora , Massimo Marchiori

We introduce and define three types of small worlds: small worlds based on the diameter of the network (SWD), those based on the average geodesic distance between nodes (SWA), and those based on the median geodesic distance (SWMd). These…

Social and Information Networks · Computer Science 2024-02-19 Leo Egghe , Ronald Rousseau

The evolution of many dynamical systems that describe relationships or interactions between objects can be effectively modeled by temporal networks, which are typically represented as a sequence of static network snapshots. In this paper,…

Social and Information Networks · Computer Science 2025-07-11 Filip Blašković , Tim O. F. Conrad , Stefan Klus , Nataša Djurdjevac Conrad

This paper proposes a framework that has the ability to animate and generate different scenarios for the mobility of a movable anchor which can follow various paths in wireless sensor networks (WSNs). When the researchers use NS-2 to…

Networking and Internet Architecture · Computer Science 2024-12-06 Abdelhady Naguib

Swim extends the actor model to support applications composed of linked distributed actors that continuously analyze boundless streams of events from millions of sources, to respond in-sync with the real-world. Swim builds a running…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-24 Chris Sachs , Ajay Govindarajan , Simon Crosby

We study the distribution function for minimal paths in small-world networks. Using properties of this distribution function, we derive analytic results which greatly simplify the numerical calculation of the average minimal distance,…

Statistical Mechanics · Physics 2009-10-31 R. V. Kulkarni , E. Almaas , D. Stroud

Some 6G use cases include augmented reality and high-fidelity holograms, with this information flowing through the network. Hence, it is expected that 6G systems can feed machine learning algorithms with such context information to optimize…

Signal Processing · Electrical Eng. & Systems 2021-06-11 Aldebaro Klautau , Ailton de Oliveira , Isabela Pamplona Trindade , Wesin Alves

The influence of commuting in socio-economic dynamics increases constantly. Analysing and modelling the networks formed by commuters to help decision-making regarding the land-use has become crucial. This paper presents a simple spatial…

Physics and Society · Physics 2020-03-10 Floriana Gargiulo , Maxime Lenormand , Sylvie Huet , Omar Baqueiro Espinosa

As humans we possess an intuitive ability for navigation which we master through years of practice; however existing approaches to model this trait for diverse tasks including monitoring pedestrian flow and detecting abnormal events have…

Computer Vision and Pattern Recognition · Computer Science 2017-02-21 Tharindu Fernando , Simon Denman , Sridha Sridharan , Clinton Fookes

Community structures have been identified in various complex real-world networks, for example, communication, information, internet and shareholder networks. The scaling of community size distribution indicates the heterogeneity in the…

Physics and Society · Physics 2022-07-11 Qing Yao , Bingsheng Chen , Tim S. Evans , Kim Christensen

Proximity networks are time-varying graphs representing the closeness among humans moving in a physical space. Their properties have been extensively studied in the past decade as they critically affect the behavior of spreading phenomena…

Physics and Society · Physics 2019-11-28 Fragkiskos Papadopoulos , Marco Antonio Rodríguez Flores

Small-worlds represent efficient communication networks that obey two distinguishing characteristics: a high clustering coefficient together with a small characteristic path length. This paper focuses on an interesting paradox, that…

Networking and Internet Architecture · Computer Science 2007-06-11 Matthias R. Brust , Steffen Rothkugel

Simulation of autonomous vehicle systems requires that simulated traffic participants exhibit diverse and realistic behaviors. The use of prerecorded real-world traffic scenarios in simulation ensures realism but the rarity of safety…

Social interactions vary in time and appear to be driven by intrinsic mechanisms, which in turn shape the emerging structure of the social network. Large-scale empirical observations of social interaction structure have become possible only…

Physics and Society · Physics 2015-12-09 Guillaume Laurent , Jari Saramäki , Márton Karsai

The study of social networks --- where people are located, geographically, and how they might be connected to one another --- is a current hot topic of interest, because of its immediate relevance to important applications, from devising…

Physics and Society · Physics 2018-06-29 Shandeepa Wickramasinghe , Onyekachukwu Onyerikwu , Jie Sun , Daniel ben-Avraham