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Shortest paths in complex networks play key roles in many applications. Examples include routing packets in a computer network, routing traffic on a transportation network, and inferring semantic distances between concepts on the World Wide…

Social and Information Networks · Computer Science 2021-04-09 Benjamin A. Miller , Zohair Shafi , Wheeler Ruml , Yevgeniy Vorobeychik , Tina Eliassi-Rad , Scott Alfeld

We introduce a simple class of distribution networks which withstand damage by being repairable instead of redundant. We prove a lower bound for the expected cost of repair, and show that for networks on the square and triangular lattice,…

Physics and Society · Physics 2014-05-12 Robert S. Farr , John L. Harer , Thomas M. A. Fink

Much of our commerce and traveling depend on the efficient operation of large scale networks. Some of those, such as electric power grids, transportation systems, communication networks, and others, must maintain their efficiency even after…

Physics and Society · Physics 2015-03-26 Vitor H. P. Louzada , Fabio Daolio , Hans J. Herrmann , Marco Tomassini

Finding sparse cuts is an important tool in analyzing large-scale distributed networks such as the Internet and Peer-to-Peer networks, as well as large-scale graphs such as the web graph, online social communities, and VLSI circuits. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-22 Atish Das Sarma , Anisur Rahaman Molla , Gopal Pandurangan

In the classical (min-cost) Steiner tree problem, we are given an edge-weighted undirected graph and a set of terminal nodes. The goal is to compute a min-cost tree S which spans all terminals. In this paper we consider the min-power…

Data Structures and Algorithms · Computer Science 2012-05-17 Fabrizio Grandoni

Many algorithms have been proposed to predict missing links in a variety of real networks. These studies focus on mainly both accuracy and efficiency of these algorithms. However, little attention is paid to their robustness against either…

Physics and Society · Physics 2013-02-26 Liang Wang , Ke Hu , Yi Tang

Complex network infrastructure systems for power-supply, communication, and transportation support our economical and social activities, however they are extremely vulnerable against the frequently increasing large disasters or attacks.…

Physics and Society · Physics 2022-04-05 Yukio Hayashi , Atsushi Tanaka , Jun Matsukubo

The increasing prevalence of adversarial attacks on Artificial Intelligence (AI) systems has created a need for innovative security measures. However, the current methods of defending against these attacks often come with a high computing…

Cryptography and Security · Computer Science 2024-08-09 Duo Zhong , Bojing Li , Xiang Chen , Chenchen Liu

The Lightning Network is the most widely used payment channel network (PCN) to date, making it an attractive attack surface for adversaries. In this paper, we analyze the Lightning Network's PCN topology and investigate its resilience…

Networking and Internet Architecture · Computer Science 2019-04-24 Elias Rohrer , Julian Malliaris , Florian Tschorsch

Robustness to adversarial attacks was shown to require a larger model capacity, and thus a larger memory footprint. In this paper, we introduce an approach to obtain robust yet compact models by pruning randomly-initialized binary networks.…

Machine Learning · Computer Science 2022-10-18 Chen Liu , Ziqi Zhao , Sabine Süsstrunk , Mathieu Salzmann

With the great popularity of Graph Neural Networks (GNNs), their robustness to adversarial topology attacks has received significant attention. Although many attack methods have been proposed, they mainly focus on fixed-budget attacks,…

Artificial Intelligence · Computer Science 2024-03-06 Mengmei Zhang , Xiao Wang , Chuan Shi , Lingjuan Lyu , Tianchi Yang , Junping Du

Predicting the occurrence of links is a fundamental problem in networks. In the link prediction problem we are given a snapshot of a network and would like to infer which interactions among existing members are likely to occur in the near…

Social and Information Networks · Computer Science 2010-11-19 L. Backstrom , J. Leskovec

The minimum cut problem for an undirected edge-weighted graph asks us to divide its set of nodes into two blocks while minimizing the weight sum of the cut edges. Here, we introduce a linear-time algorithm to compute near-minimum cuts. Our…

Data Structures and Algorithms · Computer Science 2019-06-05 Monika Henzinger , Alexander Noe , Christian Schulz , Darren Strash

Graph Neural Networks (GNNs) have become widely used in the field of graph mining. However, these networks are vulnerable to structural perturbations. While many research efforts have focused on analyzing vulnerability through poisoning…

Artificial Intelligence · Computer Science 2023-12-13 Yuwei Han , Yuni Lai , Yulin Zhu , Kai Zhou

Graph neural networks (GNNs) which apply the deep neural networks to graph data have achieved significant performance for the task of semi-supervised node classification. However, only few work has addressed the adversarial robustness of…

Machine Learning · Computer Science 2019-10-16 Kaidi Xu , Hongge Chen , Sijia Liu , Pin-Yu Chen , Tsui-Wei Weng , Mingyi Hong , Xue Lin

Graph neural networks have been widely utilized to solve graph-related tasks because of their strong learning power in utilizing the local information of neighbors. However, recent studies on graph adversarial attacks have proven that…

Machine Learning · Computer Science 2025-05-01 Junyuan Fang , Han Yang , Haixian Wen , Jiajing Wu , Zibin Zheng , Chi K. Tse

In our cyber security model we define the concept of {\em penetration cost}, which is the cost that must be paid in order to break into the next layer of security. Given a tree $T$ rooted at a vertex $r$, a {\em penetrating cost} edge…

Data Structures and Algorithms · Computer Science 2015-08-18 Geir Agnarsson , Raymond Greenlaw , Sanpawat Kantabutra

The interplay between traffic dynamics and epidemic spreading on complex networks has received increasing attention in recent years. However, the control of traffic-driven epidemic spreading remains to be a challenging problem. In this…

Physics and Society · Physics 2015-06-24 Han-Xin Yang , Zhi-Xi Wu , Bing-Hong Wang

There are various costs for attackers to manipulate the features of security classifiers. The costs are asymmetric across features and to the directions of changes, which cannot be precisely captured by existing cost models based on…

Cryptography and Security · Computer Science 2021-02-24 Yizheng Chen , Shiqi Wang , Weifan Jiang , Asaf Cidon , Suman Jana

While much of network design focuses mostly on cost (number or weight of edges), node degrees have also played an important role. They have traditionally either appeared as an objective, to minimize the maximum degree (e.g., the Minimum…

Data Structures and Algorithms · Computer Science 2023-02-23 Michael Dinitz , Guy Kortsarz , Shi Li