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Scale-free networks are abundant in nature and society, describing such diverse systems as the world wide web, the web of human sexual contacts, or the chemical network of a cell. All models used to generate a scale-free topology are…

Statistical Mechanics · Physics 2009-11-07 Albert-Laszlo Barabasi , Erzsebet Ravasz , Tamas Vicsek

Large datasets with interactions between objects are common to numerous scientific fields (i.e. social science, internet, biology...). The interactions naturally define a graph and a common way to explore or summarize such dataset is graph…

Applications · Statistics 2009-10-13 Hugo Zanghi , Stevenn Volant , Christophe Ambroise

Many real life networks present an average path length logarithmic with the number of nodes and a degree distribution which follows a power law. Often these networks have also a modular and self-similar structure and, in some cases -…

Physics and Society · Physics 2010-02-17 Alicia Miralles , Francesc Comellas , Lichao Chen , Zhongzhi Zhang

The topology of many real complex networks has been conjectured to be embedded in hidden metric spaces, where distances between nodes encode their likelihood of being connected. Besides of providing a natural geometrical interpretation of…

Physics and Society · Physics 2017-01-23 Antoine Allard , M. Ángeles Serrano , Guillermo García-Pérez , Marián Boguñá

Many systems comprising entities in interactions can be represented as graphs, whose structure gives significant insights about how these systems work. Network theory has undergone further developments, in particular in relation to…

Data Analysis, Statistics and Probability · Physics 2016-06-14 Ronan Hamon , Pierre Borgnat , Patrick Flandrin , Céline Robardet

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

In this paper, the problem of matching pairs of correlated random graphs with multi-valued edge attributes is considered. Graph matching problems of this nature arise in several settings of practical interest including social network…

Information Theory · Computer Science 2018-02-06 F. Shirani , S. Garg , E. Erkip

Complex networks play a fundamental role in understanding phenomena from the collective behavior of spins, neural networks, and power grids to the spread of diseases. Topological phenomena in such networks have recently been exploited to…

We consider a network scenario in which agents can evaluate each other according to a score graph that models some interactions. The goal is to design a distributed protocol, run by the agents, that allows them to learn their unknown state…

Systems and Control · Computer Science 2018-06-05 Francesco Sasso , Angelo Coluccia , Giuseppe Notarstefano

The information contained in hierarchical topology, intrinsic to many networks, is currently underutilised. A novel architecture is explored which exploits this information through a multiscale decomposition. A dendrogram is produced by a…

Machine Learning · Computer Science 2020-06-24 Alex Lipov , Pietro Liò

We present a new, systematic approach for analyzing network topologies. We first introduce the dK-series of probability distributions specifying all degree correlations within d-sized subgraphs of a given graph G. Increasing values of d…

Networking and Internet Architecture · Computer Science 2008-04-16 Priya Mahadevan , Dmitri Krioukov , Kevin Fall , Amin Vahdat

Complex networks are universal, arising in fields as disparate as sociology, physics, and biology. In the past decade, extensive research into the properties and behaviors of complex systems has uncovered surprising commonalities among the…

Other Quantitative Biology · Quantitative Biology 2015-06-26 Claire Christensen , Reka Albert

This paper presents expression of mutual information that defines the information gain in planning of sensing resources, when the goal is to reduce the forecast uncertainty of some quantities of interest and the system dynamics is described…

Systems and Control · Computer Science 2013-08-02 Han-Lim Choi

We propose a model for network community detection using topological data analysis, a branch of modern data science that leverages theory from algebraic topology to statistical analysis and machine learning. Specifically, we use cellular…

Social and Information Networks · Computer Science 2023-10-10 Arne Wolf , Anthea Monod

Due to the advent of the expressions of data other than tabular formats, the topological compositions which make samples interrelated came into prominence. Analogically, those networks can be interpreted as social connections, dataflow…

Social and Information Networks · Computer Science 2023-01-27 Hacı İsmail Aslan , Chang Choi , Hoon Ko

The topology of any complex system is key to understanding its structure and function. Fundamentally, algebraic topology guarantees that any system represented by a network can be understood through its closed paths. The length of each path…

Methodology · Statistics 2017-05-17 Pierre-André G. Maugis , Sofia C. Olhede , Patrick J. Wolfe

This paper looks at the task of network topology inference, where the goal is to learn an unknown graph from nodal observations. One of the novelties of the approach put forth is the consideration of prior information about the density of…

Signal Processing · Electrical Eng. & Systems 2022-07-12 Samuel Rey , T. Mitchell Roddenberry , Santiago Segarra , Antonio G. Marques

In this work, we address the problem of designing delay-based anonymous communication systems. We consider a timed mix where an eavesdropper wants to learn the communication pattern of the users, and study how the mix must delay the…

Cryptography and Security · Computer Science 2019-10-23 Simon Oya , Fernando Pérez-González , Carmela Troncoso

One of the purposes of network tomography is to infer the status of parameters (e.g., delay) for the links inside a network through end-to-end probing between (external) boundary nodes along predetermined routes. In this work, we apply…

Networking and Internet Architecture · Computer Science 2016-11-17 Mohammad H. Firooz , Sumit Roy

Although routing applications increasingly affect individual mobility choices, their impact on collective traffic dynamics remains largely unknown. Smart communication technologies provide accurate traffic data for choosing one route over…

Physics and Society · Physics 2021-11-29 Verena Krall , Max F. Burg , Friedrich Pagenkopf , Henrik Wolf , Marc Timme , Malte Schröder