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Hierarchical tree structures are common in many real-world systems, from tree roots and branches to neuronal dendrites and biologically inspired artificial neural networks, as well as in technological networks for organizing and searching…

Statistical Mechanics · Physics 2025-02-04 Davide Cipollini , Lambert Schomaker

Network science enables the effective analysis of real interconnected systems, characterized by a complex interplay between topology and interconnections strength. It is well-known that the topology of a network affects its resilience to…

Physics and Society · Physics 2021-06-10 Giulia Bertagnolli , Riccardo Gallotti , Manlio De Domenico

In modern network design, "efficiency" is often conflated with raw performance metrics like latency or aggregate throughput. This paper proposes a resource-centric definition of efficiency, isolating the hardware cost required to maintain a…

Networking and Internet Architecture · Computer Science 2026-01-28 Jia Xu Wei , Wei Wei

Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of neural activity on the underlying anatomical or structural network of synaptic connections. This latter is well…

Disordered Systems and Neural Networks · Physics 2021-02-11 Ali Safari , Paolo Moretti , Ibai Diez , Jesus M. Cortes , Miguel Ángel Muñoz

Motivated by the fact that entities in a social network or biological system often interact by exchanging information, we propose an efficient info-clustering algorithm that can group entities into communities using a parametric max-flow…

Information Theory · Computer Science 2017-02-02 Chung Chan , Ali Al-Bashabsheh , Qiaoqiao Zhou

Cloud computing has become an important means to speed up computing. One problem influencing heavily the performance of such systems is the choice of nodes as servers responsible for executing the users' tasks. In this article we report how…

The paper addresses design/building frameworks for some kinds of tree-like and hierarchical structures of systems. The following approaches are examined: (1) expert-based procedures, (2) hierarchical clustering; (3) spanning problems (e.g.,…

Optimization and Control · Mathematics 2012-12-12 Mark Sh. Levin

Reliable propagation of information through large networks, e.g., communication networks, social networks or sensor networks is very important in many applications concerning marketing, social networks, and wireless sensor networks.…

Data Structures and Algorithms · Computer Science 2018-05-08 Christian Frey , Andreas Züfle , Tobias Emrich , Matthias Renz

The problem of selection, storage, search and analysis of information about the state, functioning and interaction of elements of complex hierarchical network systems is considered. The principles of construction of information models of…

Physics and Society · Physics 2021-06-17 Olexandr Polishchuk , Mykhailo Yadzhak

We consider the distributed optimization problem for a multi-agent system. Here, multiple agents cooperatively optimize an objective by sharing information through a communication network and performing computations. In this tutorial, we…

Optimization and Control · Mathematics 2023-09-21 Bryan Van Scoy , Laurent Lessard

Many complex systems can be described in terms of networks of interacting units. Recent studies have shown that a wide class of both natural and artificial nets display a surprisingly widespread feature: the presence of highly heterogeneous…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Ferrer i Cancho , R. V. Sole

Barab\'asi-Albert model describes many different natural networks, often yielding sensible explanations to the subjacent dynamics. However, finite size effects may prevent from discerning among different underlying physical mechanisms and…

Physics and Society · Physics 2016-10-12 Ricardo M. Ferreira , Rita M. C. de Almeida , Leonardo G. Brunnet

Networks have in recent years emerged as an invaluable tool for describing and quantifying complex systems in many branches of science. Recent studies suggest that networks often exhibit hierarchical organization, where vertices divide into…

Machine Learning · Statistics 2008-11-05 Aaron Clauset , Cristopher Moore , M. E. J. Newman

The emergent behavior of a distributed system is conditioned by the information available to the local decision-makers. Therefore, one may expect that providing decision-makers with more information will improve system performance; in this…

Computer Science and Game Theory · Computer Science 2023-06-23 Bryce L. Ferguson , Dario Paccagnan , Jason R. Marden

We discuss the collective behavior of a network of individuals that receive, process and forward to each other tasks. Given costs they store those tasks in buffers, choosing optimally the frequency at which to check and process the buffer.…

Physics and Society · Physics 2009-11-13 L. Dall'Asta , M. Marsili , P. Pin

This work reports a quantitative analysis to predicting the efficiency of distributed computing running in three models of complex networks: Barab\'asi-Albert, Erd\H{o}s-R\'enyi and Watts-Strogatz. A master/slave computing model is…

Computational Physics · Physics 2012-07-13 Gonzalo Travieso , Carlos A. Ruggiero , Odemir M. Bruno , Luciano da F. Costa

We consider the distributed optimization problem, where a group of agents work together to optimize a common objective by communicating with neighboring agents and performing local computations. For a given algorithm, we use tools from…

Optimization and Control · Mathematics 2020-09-11 Bryan Van Scoy , Laurent Lessard

The organization of interactions in complex systems can be described by networks connecting different units. These graphs are useful representations of the local and global complexity of the underlying systems. The origin of their…

Physics and Society · Physics 2015-09-30 Luís F Seoane , Ricard Solé

Inspired by studies on the airports' network and the physical Internet, we propose a general model of weighted networks via an optimization principle. The topology of the optimal network turns out to be a spanning tree that minimizes a…

Physics and Society · Physics 2009-11-11 Marc Barthelemy , Alessandro Flammini

Much work has been devoted to studying percolation of networks and interdependent networks under varying levels of failures. Researchers have considered many different realistic network structures, but thus far no study has incorporated the…

Physics and Society · Physics 2018-11-21 Louis M. Shekhtman , Shlomo Havlin