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Lying at the interface between Network Science and Machine Learning, node embedding algorithms take a graph as input and encode its structure onto output vectors that represent nodes in an abstract geometric space, enabling various…

Physics and Society · Physics 2025-10-03 Riccardo Milocco , Fabian Jansen , Diego Garlaschelli

We propose algorithms for construction and random generation of hypergraphs without loops and with prescribed degree and dimension sequences. The objective is to provide a starting point for as well as an alternative to Markov chain Monte…

Data Structures and Algorithms · Computer Science 2020-04-14 Naheed Anjum Arafat , Debabrota Basu , Laurent Decreusefond , Stephane Bressan

The study of networks has grown into a substantial interdisciplinary endeavour that encompasses myriad disciplines in the natural, social, and information sciences. Here we introduce a framework for constructing taxonomies of networks based…

Data Analysis, Statistics and Probability · Physics 2012-05-21 Jukka-Pekka Onnela , Daniel J. Fenn , Stephen Reid , Mason A. Porter , Peter J. Mucha , Mark D. Fricker , Nick S. Jones

Network analysis has been applied to various correlation matrix data. Thresholding on the value of the pairwise correlation is probably the most straightforward and common method to create a network from a correlation matrix. However, there…

Physics and Society · Physics 2020-07-01 Sadamori Kojaku , Naoki Masuda

We consider the problem of graph generation guided by network statistics, i.e., the generation of graphs which have given values of various numerical measures that characterize networks, such as the clustering coefficient and the number of…

Social and Information Networks · Computer Science 2023-03-02 Jérôme Kunegis , Jun Sun , Eiko Yoneki

Generative mechanisms which lead to empirically observed structure of networked systems from diverse fields like biology, technology and social sciences form a very important part of study of complex networks. The structure of many…

Physics and Society · Physics 2015-12-03 Snehal M. Shekatkar , G. Ambika

Document networks are found in various collections of real-world data, such as citation networks, hyperlinked web pages, and online social networks. A large number of generative models have been proposed because they offer intuitive and…

Physics and Society · Physics 2020-01-22 Takafumi J. Suzuki

Temporal networks are essential for modeling and understanding systems whose behavior varies in time, from social interactions to biological systems. Often, however, real-world data are prohibitively expensive to collect in a large scale or…

Social and Information Networks · Computer Science 2023-08-23 Antonio Longa , Giulia Cencetti , Sune Lehmann , Andrea Passerini , Bruno Lepri

To a considerable extent, the continuing importance and popularity of complex networks as models of real-world structures has been motivated by scale free degree distributions as well as the respectively implied hubs. Being related to…

Physics and Society · Physics 2007-11-20 Luciano da Fontoura Costa

Complex network theory aims to model and analyze complex systems that consist of multiple and interdependent components. Among all studies on complex networks, topological structure analysis is of the most fundamental importance, as it…

Social and Information Networks · Computer Science 2010-09-15 Bo Yang , Jiming Liu

Network structures, consisting of nodes and edges, have applications in almost all subjects. A set of nodes is called a community if the nodes have strong interrelations. Industries (including cell phone carriers and online social media…

Social and Information Networks · Computer Science 2019-02-13 Haoye Lu , Amiya Nayak

A variety of scale-free networks have been created since the pioneer work by A.-L. Barab\'{a}si and R. Albert. All this networks are homogeneous since they are composed of the same kind of nodes. In the realistic world, however, one element…

Disordered Systems and Neural Networks · Physics 2009-11-11 Shi-Jie Yang , Hu Zhao

Dynamical processes on complex networks such as information propagation, innovation diffusion, cascading failures or epidemic spreading are highly affected by their underlying topologies as characterized by, for instance, degree-degree…

Data Analysis, Statistics and Probability · Physics 2013-03-05 Mathias Raschke , Markus Schläpfer , Konstantinos Trantopoulos

Analytical explorations on complex networks and cubes (i.e., multi-dimensional datasets) are currently two separate research fields with different strategies. To gain more insights into cube dynamics via unique network-domain methodologies…

Social and Information Networks · Computer Science 2023-04-05 Shaojie Min , Ji Liu

The proliferation of models for networks raises challenging problems of model selection: the data are sparse and globally dependent, and models are typically high-dimensional and have large numbers of latent variables. Together, these…

Social and Information Networks · Computer Science 2014-06-25 Xiaoran Yan , Cosma Rohilla Shalizi , Jacob E. Jensen , Florent Krzakala , Cristopher Moore , Lenka Zdeborova , Pan Zhang , Yaojia Zhu

We propose a random walks based model to generate complex networks. Many authors studied and developed different methods and tools to analyze complex networks by random walk processes. Just to cite a few, random walks have been adopted to…

Physics and Society · Physics 2015-06-19 Marco Alberto Javarone

Network generators that capture the Internet's large-scale topology are crucial for the development of efficient routing protocols and modeling Internet traffic. Our ability to design realistic generators is limited by the incomplete…

Statistical Mechanics · Physics 2009-11-07 Soon-Hyung Yook , Hawoong Jeong , Albert-Laszlo Barabasi

Let a collection of networks represent interactions within several (social or ecological) systems. We pursue two objectives: identifying similarities in the topological structures that are held in common between the networks and clustering…

Methodology · Statistics 2024-04-09 Saint-Clair Chabert-Liddell , Pierre Barbillon , Sophie Donnet

Robust and efficient design of networks on a realistic geographical space is one of the important issues for the realization of dependable communication systems. In this paper, based on a percolation theory and a geometric graph property,…

Data Analysis, Statistics and Probability · Physics 2011-11-04 Yukio Hayashi

To capture the inherent geometric features of many community detection problems, we propose to use a new random graph model of communities that we call a Geometric Block Model. The geometric block model generalizes the random geometric…

Social and Information Networks · Computer Science 2018-01-25 Sainyam Galhotra , Arya Mazumdar , Soumyabrata Pal , Barna Saha