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We investigate topologically biased failure in scale-free networks with degree distribution $P(k) \propto k^{-\gamma}$. The probability $p$ that an edge remains intact is assumed to depend on the degree $k$ of adjacent nodes $i$ and $j$…

Disordered Systems and Neural Networks · Physics 2009-11-13 Andre A. Moreira , Jose S. Andrade , Hans J. Herrmann , Joseph O. Indekeu

It has been found that the networks with scale-free distribution are very resilient to random failures. The purpose of this work is to determine the network design guideline which maximize the network robustness to random failures with the…

Statistical Mechanics · Physics 2009-11-11 Jian-Guo Liu , Zhong-Tuo Wang , Yan-Zhong Dang

Prompt and effective corrective actions in response to unexpected contingencies are crucial for improving power system resilience and preventing cascading blackouts. The optimal load shedding (OLS) accounting for network limits has the…

Machine Learning · Computer Science 2025-02-12 Yuqi Zhou , Hao Zhu

By considering the task of finding the shortest walk through a network we find an algorithm for which the run time is not as O(2^n), with n being the number of nodes, but instead scales with the number of nodes in a coarsened network. This…

Social and Information Networks · Computer Science 2013-05-22 Binh-Minh Bui-Xuan , Nick S. Jones

We introduce a scalable searching algorithm for finding nodes and contents in random networks with Power-Law (PL) and heavy-tailed degree distributions. The network is searched using a probabilistic broadcast algorithm, where a query…

Disordered Systems and Neural Networks · Physics 2007-05-23 Nima Sarshar , P. Oscar Boykin , Vwani P. Roychowdhury

In the last years the Prisoner Dilemma (PD) has become a paradigm for the study of the emergence of cooperation in spatially structured populations. Such structure is usually assumed to be given by a graph. In general, the success of…

Adaptation and Self-Organizing Systems · Physics 2011-03-28 M. N. Kuperman , S. Risau-Gusman

Identifying communities has always been a fundamental task in analysis of complex networks. Many methods have been devised over the last decade for detection of communities. Amongst them, the label propagation algorithm brings great…

Social and Information Networks · Computer Science 2015-03-17 Aria Rezaei , Saeed Mahlouji Far , Mahdieh Soleymani

Network dismantling is a relevant research area in network science, gathering attention both from a theoretical and an operational point of view. Here, we propose a general framework for dismantling that prioritizes the removal of nodes…

Physics and Society · Physics 2022-09-29 Federico Musciotto , Salvatore Micciché

An important problem in networked systems is detection and removal of suspected malicious nodes. A crucial consideration in such settings is the uncertainty endemic in detection, coupled with considerations of network connectivity, which…

Machine Learning · Computer Science 2019-02-01 Sixie Yu , Yevgeniy Vorobeychik

Interconnected complex systems usually undergo disruptions due to internal uncertainties and external negative impacts such as those caused by harsh operating environments or regional natural disaster events. To maintain the operation of…

Machine Learning · Computer Science 2022-07-05 Jiaxin Wu , Pingfeng Wang

We study the effects of nonreciprocity and network structure on percolation. To this end, we investigate nonreciprocal random networks - directed networks for which the probability of a link occurring from node i to node j differs from the…

Statistical Mechanics · Physics 2025-10-07 Chanania Steinbock

Given a network, allocating resources at clusters level, rather than at each node, enhances efficiency in resource allocation and usage. In this paper, we study the problem of finding fully connected disjoint clusters to minimize the…

Machine Learning · Computer Science 2024-02-16 Benedikt Schesch , Marco Caserta

We introduced the load-balanced routing algorithms, for interconnection networks resulting from nesting, by considering the pressure of the data forwarding in each node. Benchmarks on a small cluster with various network topologies, and…

Networking and Internet Architecture · Computer Science 2019-12-30 Zhipeng Xu , Xiaolong Huang , Yuefan Deng

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

We develop a system-theoretic framework for the structured analysis of distributed optimization algorithms with decomposable cost functions. We model such algorithms as a network of interacting dynamical systems and derive tests for…

Optimization and Control · Mathematics 2026-04-14 Aron Karakai , Jaap Eising , Andrea Martinelli , Florian Dörfler

The study of network robustness focuses on the way the overall functionality of a network is affected as some of its constituent parts fail. Failures can occur at random or be part of an intentional attack and, in general, networks behave…

Physics and Society · Physics 2020-01-29 Nahuel Almeira , Orlando Vito Billoni , Juan Ignacio Perotti

We investigate the fundamental principles that drive the development of scalable algorithms for network optimization. Despite the significant amount of work on parallel and decentralized algorithms in the optimization community, the methods…

Machine Learning · Statistics 2017-08-15 Patrick Rebeschini , Sekhar Tatikonda

Distributed resource allocation (DRA) is fundamental to modern networked systems, spanning applications from economic dispatch in smart grids to CPU scheduling in data centers. Conventional DRA approaches require reliable communication, yet…

Systems and Control · Electrical Eng. & Systems 2025-10-22 Mohammadreza Doostmohammadian , Sergio Pequito

We present analytic and numeric results for percolation in a network formed of interdependent spatially embedded networks. We show results for a treelike and a random regular network of networks each with $(i)$ unconstrained interdependent…

Physics and Society · Physics 2015-06-18 Louis M. Shekhtman , Yehiel Berezin , Michael M. Danziger , Shlomo Havlin

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

Performance · Computer Science 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid