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Power law distribution seems to be an important characteristic of web graphs. Several existing web graph models generate power law graphs by adding new vertices and non-uniform edge connectivities to existing graphs. Researchers have…

Discrete Mathematics · Computer Science 2011-03-08 David Eppstein , Joseph Wang

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

Statistical Mechanics · Physics 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

Multivariate graphs are prolific across many fields, including transportation and neuroscience. A key task in graph analysis is the exploration of connectivity, to, for example, analyze how signals flow through neurons, or to explore how…

In recent decades, the massification of online social connections has made information globally accessible in a matter of seconds. Unfortunately, this has been accompanied by a dramatic surge in extreme opinions, without a clear solution in…

Social and Information Networks · Computer Science 2024-03-20 Vincent Bouttier , Salomé Leclercq , Renaud Jardri , Sophie Deneve

Graphical security models constitute a well-known, user-friendly way to represent the security of a system. These kinds of models are used by security experts to identify vulnerabilities and assess the security of a system. The manual…

Cryptography and Security · Computer Science 2023-09-26 Alyzia-Maria Konsta , Beatrice Spiga , Alberto Lluch Lafuente , Nicola Dragoni

Graph theory is a promising approach in handling the problem of estimating the connectivity probability of vehicular ad-hoc networks (VANETs). With a communication network represented as graph, graph connectivity indicators become valid for…

Networking and Internet Architecture · Computer Science 2023-05-03 Samar Elaraby , Sherif M. Abuelenin

Data-driven analysis of complex networks has been in the focus of research for decades. An important area of research is to study how well real networks can be described with a small selection of metrics, furthermore how well network models…

Social and Information Networks · Computer Science 2022-04-28 Marcell Nagy , Roland Molontay

Despite the exploding interest in graph neural networks there has been little effort to verify and improve their robustness. This is even more alarming given recent findings showing that they are extremely vulnerable to adversarial attacks…

Machine Learning · Computer Science 2019-12-20 Aleksandar Bojchevski , Stephan Günnemann

Cyber security is one of the most significant technical challenges in current times. Detecting adversarial activities, prevention of theft of intellectual properties and customer data is a high priority for corporations and government…

Databases · Computer Science 2015-03-04 Sutanay Choudhury , Lawrence Holder , George Chin , Khushbu Agarwal , John Feo

Though the studies of social contagions are regularly borrowing network models to study the propagation of social influences and opinions to include social heterogeneity. Such studies provide valuable insights regarding these, but the…

Physics and Society · Physics 2023-09-28 Dibyajyoti Mallick , Kumar Gaurav , Saumik Bhattacharya , Sayantari Ghosh

Adversarial attacks can affect the performance of existing deep learning models. With the increased interest in graph based machine learning techniques, there have been investigations which suggest that these models are also vulnerable to…

Machine Learning · Computer Science 2020-07-15 Florence Regol , Soumyasundar Pal , Mark Coates

We address the question of understanding the effect of the underlying network topology on the spread of a virus and the dissemination of information when users are mobile performing independent random walks on a graph. To this end we…

Probability · Mathematics 2008-10-20 M. Draief , A. Ganesh

Dynamic networks models describe temporal interactions between social actors, and as such have been used to describe financial fraudulent transactions, dispersion of destructive invasive species across the globe, and the spread of fake…

Methodology · Statistics 2025-03-06 Melania Lembo , Ester Riccardi , Veronica Vinciotti , Ernst C. Wit

Graph contrastive learning is the state-of-the-art unsupervised graph representation learning framework and has shown comparable performance with supervised approaches. However, evaluating whether the graph contrastive learning is robust to…

Machine Learning · Computer Science 2022-01-28 Sixiao Zhang , Hongxu Chen , Xiangguo Sun , Yicong Li , Guandong Xu

The exploration of epidemic dynamics on dynamically evolving ("adaptive") networks poses nontrivial challenges to the modeler, such as the determination of a small number of informative statistics of the detailed network state (that is, a…

Quantitative Methods · Quantitative Biology 2015-07-07 Assimakis A. Kattis , Alexander Holiday , Ana-Andreea Stoica , Ioannis G. Kevrekidis

Models of disease spreading are critical for predicting infection growth in a population and evaluating public health policies. However, standard models typically represent the dynamics of disease transmission between individuals using…

Physics and Society · Physics 2022-06-07 Christopher A. Browne , Daniel B. Amchin , Joanna Schneider , Sujit S. Datta

An analysis is made of a moving disturbance using a directed cyclic graph. A statistical approach is used to calculate the alternative positions in space and state of the disturbance with a defined observed time. The probability for a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Daniel Brown

In this paper, we present a framework for studying the following fundamental question in network analysis: How should one assess the centralities of nodes in an information/influence propagation process over a social network? Our framework…

Social and Information Networks · Computer Science 2018-10-24 Wei Chen , Shang-Hua Teng , Hanrui Zhang

Networks-of-networks (NoN) is a graph-theoretic model of interdependent networks that have distinct dynamics at each network (layer). By adding special edges to represent relationships between nodes in different layers, NoN provides a…

Cryptography and Security · Computer Science 2016-11-17 Mahantesh Halappanavar , Sutanay Choudhury , Emilie Hogan , Peter Hui , John R. Johnson , Indrajit Ray , Lawrence Holder

Cyber attacks are growing in frequency and severity. Over the past year alone we have witnessed massive data breaches that stole personal information of millions of people and wide-scale ransomware attacks that paralyzed critical…

Social and Information Networks · Computer Science 2018-06-13 Palash Goyal , KSM Tozammel Hossain , Ashok Deb , Nazgol Tavabi , Nathan Bartley , Andr'es Abeliuk , Emilio Ferrara , Kristina Lerman
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