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Neural networks are becoming increasingly prevalent in software, and it is therefore important to be able to verify their behavior. Because verifying the correctness of neural networks is extremely challenging, it is common to focus on the…

机器学习 · 计算机科学 2019-02-19 Ravi Mangal , Aditya V. Nori , Alessandro Orso

Measuring robustness is a fundamental task for analyzing the structure of complex networks. Indeed, several approaches to capture the robustness properties of a network have been proposed. In this paper we focus on spectral graph theory…

组合数学 · 数学 2020-11-18 Gian Paolo Clemente , Alessandra Cornaro

In Network Science node neighbourhoods, also called ego-centered networks have attracted large attention. In particular the clustering coefficient has been extensively used to measure their local cohesiveness. In this paper, we show how,…

物理与社会 · 物理学 2019-08-22 Alexander P. Kartun-Giles , Ginestra Bianconi

Network reliability measures the probability that a target node is reachable from a source node in an uncertain graph, i.e., a graph where every edge is associated with a probability of existence. In this paper, we investigate the novel and…

数据库 · 计算机科学 2020-05-26 Xiangyu Ke , Arijit Khan , Mohammad Al Hasan , Rojin Rezvansangsari

Several natural and theoretical networks can be broken down into smaller portions, or subgraphs corresponding to neighborhoods. The more frequent of these neighborhoods can then be understood as motifs of the network, being therefore…

物理与社会 · 物理学 2022-04-21 Guilherme S. Domingues , Eric K. Tokuda , Luciano da F. Costa

Recent advances in spatial and temporal networks have enabled researchers to more-accurately describe many real-world systems such as urban transport networks. In this paper, we study the response of real-world spatio-temporal networks to…

物理与社会 · 物理学 2016-07-05 Matthew J. Williams , Mirco Musolesi

Robust topology optimization (RTO), as a class of topology optimization problems, identifies a design with the best average performance while reducing the response sensitivity to input uncertainties, e.g. load uncertainty. Solving RTO is…

机器学习 · 计算机科学 2024-08-22 Rini Jasmine Gladstone , Mohammad Amin Nabian , Vahid Keshavarzzadeh , Hadi Meidani

In this paper, we study the robustness of network topologies. We use the concept of percolation as measuring tool to assess the reliability polynomial of those systems which can be modeled as a general inhomogeneous random graph as well as…

统计理论 · 数学 2017-11-02 Farkhondeh A. Sajadi

Complex networks are a powerful modeling tool, allowing the study of countless real-world systems. They have been used in very different domains such as computer science, biology, sociology, management, etc. Authors have been trying to…

社会与信息网络 · 计算机科学 2014-02-04 Burcu Kantarcı , Vincent Labatut

It has been recently proposed that the natural connectivity can be used to characterize efficiently the robustness of complex networks. The natural connectivity quantifies the redundancy of alternative routes in the network by evaluating…

统计力学 · 物理学 2009-12-19 Jun Wu , Mauricio Barahona , Yuejin Tan , Hongzhong Deng

Assessing the resilience of a road network is instrumental to improve existing infrastructures and design new ones. Here we apply the optimal path crack model (OPC) to investigate the mobility of road networks and propose a new proxy for…

物理与社会 · 物理学 2020-11-04 H. A. Carmona , A. W. T. de Noronha , A. A. Moreira , N. A. M. Araujo , J. S. Andrade

With the increasing scale of communication networks, the likelihood of failures grows as well. Since these networks form a critical backbone of our digital society, it is important that they rely on robust routing algorithms which ensure…

分布式、并行与集群计算 · 计算机科学 2023-07-13 Christoph Lenzen , Moti Medina , Mehrdad Saberi , Stefan Schmid

In this paper we introduce a new network reachability problem where the goal is to find the most reliable path between two nodes in a network, represented as a directed acyclic graph. Individual edges within this network may fail according…

数据结构与算法 · 计算机科学 2012-06-26 Allen Chang , Eyal Amir

A fundamental problem in the study of complex networks is to provide quantitative measures of correlation and information flow between different parts of a system. To this end, several notions of communicability have been introduced and…

物理与社会 · 物理学 2015-04-08 Ernesto Estrada , Naomichi Hatano , Michele Benzi

A complex network approach on a rough fracture is developed. In this manner, some hidden metric spaces (similarity measurements) between apertures profiles are set up and a general evolutionary network in two directions (in parallel and…

适应与自组织系统 · 物理学 2009-05-12 H. O. Ghaffari , M. Sharifzadeh , M. Fall , E. Evgin

Through detailed analysis of scores of publicly available data sets corresponding to a wide range of large-scale networks, from communication and road networks to various forms of social networks, we explore a little-studied geometric…

物理与社会 · 物理学 2013-07-02 W. Sean Kennedy , Onuttom Narayan , Iraj Saniee

We consider the problem of diffusing information in networks that contain malicious nodes. We assume that each normal node in the network has no knowledge of the network topology other than an upper bound on the number of malicious nodes in…

社会与信息网络 · 计算机科学 2012-03-29 Haotian Zhang , Shreyas Sundaram

The notion of curvature on graphs has recently gained traction in the networks community, with the Ollivier-Ricci curvature (ORC) in particular being used for several tasks in network analysis, such as community detection. In this work, we…

We show that global properties of an unknown quantum network, such as the average degree, hub density, and the number of closed paths of fixed length, can be inferred from strictly local quantum measurements. In particular, we demonstrate…

量子物理 · 物理学 2025-10-03 F. Romeo , J. Settino

Discrete curvatures are quantities associated to the nodes and edges of a graph that reflect the local geometry around them. These curvatures have a rich mathematical theory and they have recently found success as a tool to analyze networks…

物理与社会 · 物理学 2024-08-02 Michelle Roost , Karel Devriendt , Giulio Zucal , Jürgen Jost