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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

The Critical Node Problem (CNP) is to identify a subset of nodes in a graph whose removal maximally degrades pairwise connectivity. The CNP is an important variant of the Critical Node Detection Problem (CNDP) with wide applications. Due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-04 Biqing Fang , Hai Wan , Shaowei Cai , Zejie Cai

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

Population-based memetic algorithms have been successfully applied to solve many difficult combinatorial problems. Often, a population of fixed size was used in such algorithms to record some best solutions sampled during the search.…

Neural and Evolutionary Computing · Computer Science 2019-09-20 Yangming Zhou , Jin-Kao Hao , Zhang-Hua Fu , Zhe Wang , Xiangjing Lai

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

The minimum conductance problem is an NP-hard graph partitioning problem. Apart from the search for bottlenecks in complex networks, the problem is very closely related to the popular area of network community detection. In this paper, we…

Social and Information Networks · Computer Science 2017-04-11 David Chalupa

In this study, we address the complex issue of graph clustering in signed graphs, which are characterized by positive and negative weighted edges representing attraction and repulsion among nodes, respectively. The primary objective is to…

Data Structures and Algorithms · Computer Science 2024-07-10 Felix Hausberger , Marcelo Fonseca Faraj , Christian Schulz

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

The disjunctively constrained knapsack problem consists in packing a subset of pairwisely compatible items in a capacity-constrained knapsack such that the total profit of the selected items is maximized while satisfying the knapsack…

Neural and Evolutionary Computing · Computer Science 2021-01-14 Zequn Wei , Jin-Kao Hao

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

This paper introduces an effective memetic algorithm for the linear ordering problem with cumulative costs. The proposed algorithm combines an order-based recombination operator with an improved forward-backward local search procedure and…

Neural and Evolutionary Computing · Computer Science 2014-05-20 Tao Ye , Kan Zhou , Zhipeng Lu , Jin-Kao Hao

Computing maximum weight independent sets in graphs is an important NP-hard optimization problem. The problem is particularly difficult to solve in large graphs for which data reduction techniques do not work well. To be more precise,…

Data Structures and Algorithms · Computer Science 2023-04-24 Ernestine Großmann , Sebastian Lamm , Christian Schulz , Darren Strash

Feature selection is a problem of finding efficient features among all features in which the final feature set can improve accuracy and reduce complexity. In feature selection algorithms search strategies are key aspects. Since feature…

Machine Learning · Computer Science 2016-01-27 Mohadeseh Montazeri , Hamid Reza Naji , Mitra Montazeri , Ahmad Faraahi

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

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 consider the following natural graph cut problem called Critical Node Cut (CNC): Given a graph $G$ on $n$ vertices, and two positive integers $k$ and $x$, determine whether $G$ has a set of $k$ vertices whose removal leaves $G$ with at…

Data Structures and Algorithms · Computer Science 2015-06-30 Danny Hermelin , Moshe Kaspi , Christian Komusiewicz , Barak Navon

We propose an algorithm for detecting communities of links in networks which uses local information, is based on a new evaluation function, and allows for pervasive overlaps of communities. The complexity of the clustering task requires the…

Social and Information Networks · Computer Science 2016-06-24 Frank Havemann , Jochen Gläser , Michael Heinz

Grouping the nodes of a graph into clusters is a standard technique for studying networks. We study a problem where we are given a directed network and are asked to partition the graph into a sequence of coherent groups. We assume that…

Social and Information Networks · Computer Science 2025-12-08 Iiro Kumpulainen , Nikolaj Tatti

We present a learning-based approach to computing solutions for certain NP-hard problems. Our approach combines deep learning techniques with useful algorithmic elements from classic heuristics. The central component is a graph…

Machine Learning · Computer Science 2018-10-26 Zhuwen Li , Qifeng Chen , Vladlen Koltun

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
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