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Network dismantling is to identify a minimal set of nodes whose removal breaks the network into small components of subextensive size. Because finding the optimal set of nodes is an NP-hard problem, several heuristic algorithms have been…

Physics and Society · Physics 2018-08-01 Yoon Seok Im , B. Kahng

This paper addresses the security allocation problem in a networked control system under stealthy injection attacks. The networked system is comprised of interconnected subsystems which are represented by nodes in a digraph. An adversary…

Systems and Control · Electrical Eng. & Systems 2025-12-03 Anh Tung Nguyen , Sribalaji C. Anand , André M. H. Teixeira

Diffusion on complex networks is often modeled as a stochastic process. Yet, recent work on strategic diffusion emphasizes the decision power of agents and treats diffusion as a strategic problem. Here we study the computational aspects of…

Computational Complexity · Computer Science 2020-01-31 Marcin Waniek , Khaled Elbassioni , Flavio L. Pinheiro , Cesar A. Hidalgo , Aamena Alshamsi

We address the problem of allocating limited resources in a network under persistent yet statistically unknown adversarial attacks. Each node in the network may be degraded, but not fully disabled, depending on its available defensive…

Data Structures and Algorithms · Computer Science 2025-07-01 Mansoor Davoodi , Setareh Maghsudi

We apply the objective method of Aldous to the problem of finding the minimum-cost edge cover of the complete graph with random independent and identically distributed edge costs. The limit, as the number of vertices goes to infinity, of…

Probability · Mathematics 2014-09-08 Mustafa Khandwawala , Rajesh Sundaresan

Message passing type algorithms such as the so-called Belief Propagation algorithm have recently gained a lot of attention in the statistics, signal processing and machine learning communities as attractive algorithms for solving a variety…

Discrete Mathematics · Computer Science 2016-03-10 David Gamarnik , Devavrat Shah , Yehua Wei

We consider the problem of identifying a subset of nodes in a network that will enable the fastest spread of information in a decentralized environment.In a model of communication based on a random walk on an undirected graph, the optimal…

Discrete Mathematics · Computer Science 2014-08-20 Fern Y. Hunt

In a complete bipartite graph with vertex sets of cardinalities $n$ and $m$, assign random weights from exponential distribution with mean 1, independently to each edge. We show that, as $n\rightarrow\infty$, with $m = \lceil…

Probability · Mathematics 2014-05-07 Mustafa Khandwawala

While social networks are widely used as a media for information diffusion, attackers can also strategically employ analytical tools, such as influence maximization, to maximize the spread of adversarial content through the networks. We…

Social and Information Networks · Computer Science 2020-11-04 Feiran Jia , Kai Zhou , Charles Kamhoua , Yevgeniy Vorobeychik

In this paper, we propose a distributed algorithm for the minimum dominating set problem. For some especial networks, we prove theoretically that the achieved answer by our proposed algorithm is a constant approximation factor of the exact…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Sharareh Alipour , Ehsan Futuhi , Shayan Karimi

We provide two distributed confidence ball algorithms for solving linear bandit problems in peer to peer networks with limited communication capabilities. For the first, we assume that all the peers are solving the same linear bandit…

Machine Learning · Computer Science 2016-06-08 Nathan Korda , Balazs Szorenyi , Shuai Li

The random assignment problem asks for the minimum-cost perfect matching in the complete $n\times n$ bipartite graph $\Knn$ with i.i.d. edge weights, say uniform on $[0,1]$. In a remarkable work by Aldous (2001), the optimal cost was shown…

Probability · Mathematics 2009-02-04 Justin Salez , Devavrat Shah

In classic network security games, the defender distributes defending resources to the nodes of the network, and the attacker attacks a node, with the objective to maximize the damage caused. Existing models assume that the attack at node u…

Computer Science and Game Theory · Computer Science 2020-12-10 Rufan Bai , Haoxing Lin , Xinyu Yang , Xiaowei Wu , Minming Li , Weijia Jia

Online influence maximization aims to maximize the influence spread of a content in a social network with unknown network model by selecting a few seed nodes. Recent studies followed a non-adaptive setting, where the seed nodes are selected…

Machine Learning · Computer Science 2022-07-01 Kaixuan Huang , Yu Wu , Xuezhou Zhang , Shenyinying Tu , Qingyun Wu , Mengdi Wang , Huazheng Wang

We study the problem of containing spreading processes in arbitrary directed networks by distributing protection resources throughout the nodes of the network. We consider two types of protection resources are available: (i) Preventive…

Optimization and Control · Mathematics 2016-11-17 Victor M. Preciado , Michael Zargham , Chinwendu Enyioha , Ali Jadbabaie , George Pappas

Network detection is an important capability in many areas of applied research in which data can be represented as a graph of entities and relationships. Oftentimes the object of interest is a relatively small subgraph in an enormous,…

Social and Information Networks · Computer Science 2018-04-12 Steven T. Smith , Kenneth D. Senne , Scott Philips , Edward K. Kao , Garrett Bernstein

Maximizing the damage by attacking specific nodes of the combat network can efficiently disrupt enemies' defense capability, protect our critical units, and enhance the resistance to the destruction of system-of-system~(SOS). However, the…

Systems and Control · Electrical Eng. & Systems 2022-12-26 Jintao Yu , Bing Xiao , Yuzhu Cui

In large-scale networks, communication links between nodes are easily injected with false data by adversaries. This paper proposes a novel security defense strategy from the perspective of attack detection scheduling to ensure the security…

Systems and Control · Electrical Eng. & Systems 2023-12-19 Yuhan Suo , Senchun Chai , Runqi Chai , Zhong-Hua Pang , Yuanqing Xia , Guo-Ping Liu

In this paper, we investigate distributed inference schemes, over binary-valued Markov random fields, which are realized by the belief propagation (BP) algorithm. We first show that a decision variable obtained by the BP algorithm in a…

Information Theory · Computer Science 2019-09-19 Younes Abdi , Tapani Ristaniemi

The collection of all the strongly connected components in a directed graph, among each cluster of which any node has a path to another node, is a typical example of the intertwining structure and dynamics in complex networks, as its…

Physics and Society · Physics 2016-05-31 Jin-Hua Zhao , Hai-Jun Zhou
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