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Detecting critical nodes in sparse graphs is important in a variety of application domains, such as network vulnerability assessment, epidemic control, and drug design. The critical node problem (CNP) aims to find a set of critical nodes…

Machine Learning · Computer Science 2024-05-09 Xuwei Tan , Yangming Zhou , MengChu Zhou , Zhang-Hua Fu

Critical node problems involve identifying a subset of critical nodes from an undirected graph whose removal results in optimizing a pre-defined measure over the residual graph. As useful models for a variety of practical applications,…

Artificial Intelligence · Computer Science 2017-10-10 Yangming Zhou , Jin-Kao Hao , Fred Glover

The Critical Node Problem (CNP) is concerned with identifying the critical nodes in a complex network. These nodes play a significant role in maintaining the connectivity of the network, and removing them can negatively impact network…

Neural and Evolutionary Computing · Computer Science 2024-02-02 Chanjuan Liu , Shike Ge , Zhihan Chen , Wenbin Pei , Enqiang Zhu , Yi Mei , Hisao Ishibuchi

We tackle a stochastic version of the Critical Node Problem (CNP) where the goal is to minimize the pairwise connectivity of a graph by attacking a subset of its nodes. In the stochastic setting considered, the attacks on nodes can fail…

Data Structures and Algorithms · Computer Science 2019-05-30 Pierre Hosteins , Rosario Scatamacchia

Because of its wide application, critical nodes identification has become an important research topic at the micro level of network science. Influence maximization is one of the main problems in critical nodes mining and is usually handled…

Social and Information Networks · Computer Science 2022-01-21 Enyu Yu , Duanbing Chen , Yan Fu , Yuanyuan Xu

The Influence Maximization (IM) problem is a well-known NP-hard combinatorial problem over graphs whose goal is to find the set of nodes in a network that spreads influence at most. Among the various methods for solving the IM problem,…

Social and Information Networks · Computer Science 2024-05-17 Stefano Genetti , Eros Ribaga , Elia Cunegatti , Quintino Francesco Lotito , Giovanni Iacca

Neural network compression empowers the effective yet unwieldy deep convolutional neural networks (CNN) to be deployed in resource-constrained scenarios. Most state-of-the-art approaches prune the model in filter-level according to the…

Computer Vision and Pattern Recognition · Computer Science 2019-06-26 Wenxiao Wang , Cong Fu , Jishun Guo , Deng Cai , Xiaofei He

A graph with semantically attributed nodes are a common data structure in a wide range of domains. It could be interlinked web data or citation networks of scientific publications. The essential problem for such a data type is to determine…

Machine Learning · Computer Science 2025-12-09 Elizaveta Kovtun , Maksim Makarenko , Natalia Semenova , Alexey Zaytsev , Semen Budennyy

We introduce a mixed integer program (MIP) for assigning importance scores to each neuron in deep neural network architectures which is guided by the impact of their simultaneous pruning on the main learning task of the network. By…

Machine Learning · Computer Science 2023-07-26 Mostafa ElAraby , Guy Wolf , Margarida Carvalho

Closeness Centrality (CC) and Betweenness Centrality (BC) are crucial metrics in network analysis, providing essential reference for discerning the significance of nodes within complex networks. These measures find wide applications in…

Social and Information Networks · Computer Science 2024-03-11 Yiwei Zou , Ting Li , Zong-fu Luo

Identifying critical nodes in complex networks is a fundamental task in graph mining. Yet, methods addressing an all-or-nothing coverage mechanics in a bipartite dependency network, a graph with two types of nodes where edges represent…

Artificial Intelligence · Computer Science 2026-04-24 Sebastiano A. Piccolo , Andrea Tagarelli

Given a network, the critical node detection problem finds a subset of nodes whose removal disrupts the network connectivity. Since many real-world systems are naturally modeled as graphs, assessing the vulnerability of the network is…

Discrete Mathematics · Computer Science 2025-12-02 Tuguldur Bayarsaikhan , Altannar Chinchuluun , Ashwin Arulselvan , Panos Pardalos

The K-way vertex cut problem} consists in, given a graph G, finding a subset of vertices of a given size, whose removal partitions G into the maximum number of connected components. This problem has many applications in several areas. It…

Computational Complexity · Computer Science 2021-12-06 Mohammed Lalou

Finding the most influential nodes in a network is a computationally hard problem with several possible applications in various kinds of network-based problems. While several methods have been proposed for tackling the influence…

Social and Information Networks · Computer Science 2022-08-17 Elia Cunegatti , Giovanni Iacca , Doina Bucur

Identifying critical nodes and links in graphs is a crucial task. These nodes/links typically represent critical elements/communication links that play a key role in a system's performance. However, a majority of the methods available in…

Social and Information Networks · Computer Science 2022-05-31 Sai Munikoti , Laya Das , Balasubramaniam Natarajan

We state a combinatorial optimization problem whose feasible solutions define both a decomposition and a node labeling of a given graph. This problem offers a common mathematical abstraction of seemingly unrelated computer vision tasks,…

Computer Vision and Pattern Recognition · Computer Science 2017-02-22 Evgeny Levinkov , Jonas Uhrig , Siyu Tang , Mohamed Omran , Eldar Insafutdinov , Alexander Kirillov , Carsten Rother , Thomas Brox , Bernt Schiele , Bjoern Andres

We propose a principled convolutional neural pyramid (CNP) framework for general low-level vision and image processing tasks. It is based on the essential finding that many applications require large receptive fields for structure…

Computer Vision and Pattern Recognition · Computer Science 2017-04-10 Xiaoyong Shen , Ying-Cong Chen , Xin Tao , Jiaya Jia

Convolutional neural networks (CNNs) are commonplace in high-performing solutions to many real-world problems, such as audio classification. CNNs have many parameters and filters, with some having a larger impact on the performance than…

Sound · Computer Science 2023-05-08 James A King , Arshdeep Singh , Mark D. Plumbley

In view of the node importance in weighted networks, weighted expected method (WEM), was proposed in this paper, which take an advantages of uncertain graph algorithm. First, a weight processing method is proposed based on the relationship…

Social and Information Networks · Computer Science 2021-11-23 Linjie Chen , Na Zhao , Jie Li , Zhen Long , Ming Jing , Jian Wang

Finding an optimal set of critical nodes in a complex network has been a long-standing problem in the fields of both artificial intelligence and operations research. Potential applications include epidemic control, network security, carbon…

Neural and Evolutionary Computing · Computer Science 2022-01-19 Yangming Zhou , Xiaze Zhang , Na Geng , Zhibin Jiang , Mengchu Zhou
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