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Percolation threshold of a network is the critical value such that when nodes or edges are randomly selected with probability below the value, the network is fragmented but when the probability is above the value, a giant component…

Social and Information Networks · Computer Science 2017-04-26 Yuan Lin , Wei Chen , Zhongzhi Zhang

The effective conductivity ($T^{eff}$) of 2D and 3D Random Resistor Networks (RRNs) with random edge conductivity are studied. The combined influence of geometrical disorder, which controls the overall connectivity of the medium, and leads…

Disordered Systems and Neural Networks · Physics 2025-06-25 I. Colecchio , E. Le Gall , B. Noetinger

Monero, the leading privacy-focused cryptocurrency, relies on a peer-to-peer (P2P) network to propagate transactions and blocks. Growing evidence suggests that non-standard nodes exist in the network, posing as honest nodes but are perhaps…

Networking and Internet Architecture · Computer Science 2025-09-15 Yannik Kopyciok , Stefan Schmid , Friedhelm Victor

Percolation theory characterizing the robustness of a network has applications ranging from biology, to epidemic spreading, and complex infrastructures. Percolation theory, however, only concern the typical response of a infinite network to…

Disordered Systems and Neural Networks · Physics 2018-02-28 Ginestra Bianconi

Robustness to malicious attacks is crucial for practical decentralized signal processing and machine learning systems. A typical example of such attacks is label poisoning, meaning that some agents possess corrupted local labels and share…

Machine Learning · Computer Science 2026-01-07 Jie Peng , Weiyu Li , Stefan Vlaski , Qing Ling

Tor is a widely used anonymity network that conceals user identities by routing traffic through encrypted relays, yet it remains vulnerable to traffic correlation attacks that deanonymize users by matching patterns in ingress and egress…

Cryptography and Security · Computer Science 2025-12-02 Binghui Wu , Dinil Mon Divakaran , Levente Csikor , Mohan Gurusamy

Networks are inherently vulnerable to vertex failures, making the analysis of their structural robustness a fundamental problem in graph theory. In this study, we investigate the closeness and vertex residual closeness of graphs, with a…

Discrete Mathematics · Computer Science 2026-04-14 Hande Tuncel Golpek , Mehmet Ali Bilici , Aysun Aytac

Most real-world complex systems can be modelled by coupled networks with multiple layers. How and to what extent the pattern of couplings between network layers may influence the interlaced structure and function of coupled networks are not…

Data Analysis, Statistics and Probability · Physics 2010-10-26 Won-kuk Cho , K. -I. Goh , I. -M. Kim

Recent studies reveal that local differential privacy (LDP) protocols are vulnerable to data poisoning attacks where an attacker can manipulate the final estimate on the server by leveraging the characteristics of LDP and sending carefully…

Cryptography and Security · Computer Science 2025-01-28 Xiaoguang Li , Zitao Li , Ninghui Li , Wenhai Sun

Percolation theory is an approach to study vulnerability of a system. We develop analytical framework and analyze percolation properties of a network composed of interdependent networks (NetONet). Typically, percolation of a single network…

Physics and Society · Physics 2014-01-07 Jianxi Gao , Sergey V. Buldyrev , H. Eugene Stanley , Xiaoming Xu , Shlomo Havlin

We consider robustness and percolation properties of the networks of networks, in which random nodes in different individual networks (layers) can be interdependent. We explore the emergence of the giant mutually connected component,…

Disordered Systems and Neural Networks · Physics 2014-11-18 Ginestra Bianconi , Sergey N. Dorogovtsev

The Uniswap is a Decentralized Exchange (DEX) protocol that facilitates automatic token exchange without the need for traditional order books. Every pair of tokens forms a liquidity pool on Uniswap, and each token can be paired with any…

Computational Engineering, Finance, and Science · Computer Science 2025-03-12 Tao Yan , Claudio J. Tessone

For interdependent networks with identity dependency map, percolation is exactly the same with that on a single network and follows a second-order phase transition, while for random dependency, percolation follows a first-order phase…

Social and Information Networks · Computer Science 2016-02-17 Jing Yuan , Lixiang Li , Haipeng Peng , Jürgen Kurths , Xiaojing Hua , Yixian Yang

Most networks of interest do not live in isolation. Instead they form components of larger systems in which multiple networks with distinct topologies coexist and where elements distributed amongst different networks may interact directly.…

Disordered Systems and Neural Networks · Physics 2009-07-07 E. A. Leicht , Raissa M. D'Souza

A crucial challenge in network theory is the study of the robustness of a network after facing a sequence of failures. In this work, we propose a dynamical definition of network's robustness based on Information Theory, that considers…

In this paper, a methodology inspired on bond and site percolation methods is applied to the estimation of the resilience against failures in power grids. Our approach includes vulnerability measures with both dynamical and structural…

Adaptation and Self-Organizing Systems · Physics 2020-10-28 Cristian Camilo Galindo-González , David Angulo-García , Gustavo Osorio

How the giant component of a network disappears under attacking nodes or links addresses a key aspect of network robustness, which can be framed into percolation problems. Various strategies to select the node to be deactivated have been…

Physics and Society · Physics 2020-07-22 Jung-Ho Kim , Soo-Jeong Kim , K. -I. Goh

We present exact analysis of the physical properties of bimodal networks specified by the two peak degree distribution fully incorporating the degree-degree correlation between node connection. The structure of the correlated bimodal…

Physics and Society · Physics 2016-08-24 Shogo Mizutaka , Toshihiro Tanizawa

Almost all network research has been focused on the properties of a single network that does not interact and depends on other networks. In reality, many real-world networks interact with other networks. Here we develop an analytical…

Data Analysis, Statistics and Probability · Physics 2011-11-09 Jianxi Gao , Sergey V. Buldyrev , Shlomo Havlin , H. Eugene Stanley

Most permissionless blockchain networks run on peer-to-peer (P2P) networks, which offer flexibility and decentralization at the expense of performance (e.g., network latency). Historically, this tradeoff has not been a bottleneck for most…

Cryptography and Security · Computer Science 2023-09-13 Weizhao Tang , Lucianna Kiffer , Giulia Fanti , Ari Juels