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This paper develops strategic foundations for an important statistical model of random networks with heterogeneous expected degrees. Based on this, we show how social networking services that subtly alter the costs and indirect benefits of…

Applications · Statistics 2010-04-09 Benjamin Golub , Yair Livne

We develop a geometric framework to study the structure and function of complex networks. We assume that hyperbolic geometry underlies these networks, and we show that with this assumption, heterogeneous degree distributions and strong…

Statistical Mechanics · Physics 2010-09-14 Dmitri Krioukov , Fragkiskos Papadopoulos , Maksim Kitsak , Amin Vahdat , Marian Boguna

We analyze analytically the effect of congestion costs within a physically relevant, yet exactly solvable network model featuring central hubs. These costs lead to a competition between centralized and decentralized transport pathways. In…

Disordered Systems and Neural Networks · Physics 2009-11-10 Douglas J. Ashton , Timothy C. Jarrett , Neil F. Johnson

We study core-periphery structure in networks using inference methods based on a flexible network model that allows for traditional onion-like cores within cores, but also for hierarchical tree-like structures and more general non-nested…

Social and Information Networks · Computer Science 2023-08-25 Austin Polanco , M. E. J. Newman

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

The structure of the network has great impact on its traffic dynamics. Most of the real world networks follow the heterogeneous structure and exhibit scale-free feature. In scale-free network, a new node prefers to connect with hub nodes…

Networking and Internet Architecture · Computer Science 2019-01-17 Suchi Kumari , Abhishek Saroha , Anurag Singh

In this paper, we study the fundamental limits of hierarchical secure aggregation under unreliable communication. We consider a hierarchical network where each client connects to multiple relays, and both client-to-relay and relay-to-server…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Shudi Weng , Xiang Zhang , Yizhou Zhao , Giuseppe Caire , Ming Xiao , Mikael Skoglund

Complex networks are at the core of an intense research activity. However, in most cases, intricate and costly measurement procedures are needed to explore their structure. In some cases, these measurements rely on link queries: given two…

Networking and Internet Architecture · Computer Science 2009-04-22 Fabien Tarissan , Matthieu Latapy , Christophe Prieur

Understanding how individual learning behavior and structural dynamics interact is essential to modeling emergent phenomena in socioeconomic networks. While bounded rationality and network adaptation have been widely studied, the role of…

Physics and Society · Physics 2025-10-29 Chanuka Karavita , Zehua Lyu , Dharshana Kasthurirathna , Mahendra Piraveenan

In this paper, we model the cost incurred by each peer participating in a peer-to-peer network. Such a cost model allows to gauge potential disincentives for peers to collaborate, and provides a measure of the ``total cost'' of a network,…

Networking and Internet Architecture · Computer Science 2007-05-23 Nicolas Christin , John Chuang

Modular structure is ubiquitous among complex networks. We note that most such systems are subject to multiple structural and functional constraints, e.g., minimizing the average path length and the total number of links, while maximizing…

Physics and Society · Physics 2007-11-05 Raj Kumar Pan , Sitabhra Sinha

Maximizing robustness and minimizing cost are common objectives in the design of infrastructure networks. However, most infrastructure networks evolve and operate in a highly decentralized fashion, which may significantly impact the…

Physics and Society · Physics 2008-05-29 Dong-Hee Kim , Adilson E. Motter

Spatial networks are a powerful framework for studying a large variety of systems belonging to a broad diversity of contexts: from transportation to biology, from epidemiology to communications, and migrations, to cite a few. Spatial…

Physics and Society · Physics 2020-04-08 Ignacio Morer , Alessio Cardillo , Albert Diaz-Guilera , Luce Prignano , Sergi Lozano

Fixed effects models are very flexible because they do not make assumptions on the distribution of effects and can also be used if the heterogeneity component is correlated with explanatory variables. A disadvantage is the large number of…

Methodology · Statistics 2015-12-17 Moritz Berger , Gerhard Tutz

Interference coupling in heterogeneous networks introduces the inherent non-convexity to the network resource optimization problem, hindering the development of effective solutions. A new framework based on multi-pattern formulation has…

Networking and Internet Architecture · Computer Science 2016-11-17 Quan Kuang , Xiangbin Yu , Wolfgang Utschick

Most of the prior work in massively parallel data processing assumes homogeneity, i.e., every computing unit has the same computational capability, and can communicate with every other unit with the same latency and bandwidth. However, this…

Databases · Computer Science 2020-09-25 Xiao Hu , Paraschos Koutris , Spyros Blanas

The cost of data movement on parallel systems varies greatly with machine architecture, job partition, and nearby jobs. Performance models that accurately capture the cost of data movement provide a tool for analysis, allowing for…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-20 Amanda Bienz , Luke N. Olson , William D. Gropp , Shelby Lockhart

We study strategic network formation games in which agents attempt to form (costly) links in order to maximize their network centrality. Our model derives from Jackson and Wolinsky's symmetric connection model, but allows for heterogeneity…

Computer Science and Game Theory · Computer Science 2020-11-30 Gabriel Istrate , Cosmin Bonchiş

Federated learning (FL) is a distributed learning paradigm that enables a large number of mobile devices to collaboratively learn a model under the coordination of a central server without sharing their raw data. Despite its practical…

Machine Learning · Computer Science 2021-09-14 Bing Luo , Xiang Li , Shiqiang Wang , Jianwei Huang , Leandros Tassiulas

Symmetries in a network connectivity regulate how the graph's functioning organizes into clustered states. Classical methods for tracing the symmetry group of a network require very high computational costs, and therefore they are of hard,…

Adaptation and Self-Organizing Systems · Physics 2022-01-05 Pitambar Khanra , Subrata Ghosh , Karin Alfaro-Bittner , Prosenjit Kundu , Stefano Boccaletti , Chittaranjan Hens , Pinaki Pal