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This study introduces a comprehensive framework that situates information cascades within the domain of higher-order interactions, utilizing a double-threshold hypergraph model. We propose that individuals (nodes) gain awareness of…

Physics and Society · Physics 2024-06-14 Lei Chen , Yanpeng Zhu , Jiadong Zhu , Zhongyuan Ruan , Michael Small , Kim Christensen , Run-Ran Liu , Fanyuan Meng

In social networks, individuals' decisions are strongly influenced by recommendations from their friends and acquaintances. The influence maximization (IM) problem asks to select a seed set of users that maximizes the influence spread,…

Social and Information Networks · Computer Science 2020-08-21 Alessio Arleo , Walter Didimo , Giuseppe Liotta , Silvia Miksch , Fabrizio Montecchiani

Given a complex high-dimensional distribution over $\{\pm 1\}^n$, what is the best way to increase the expected number of $+1$'s by controlling the values of only a small number of variables? Such a problem is known as influence…

Data Structures and Algorithms · Computer Science 2024-01-05 Zongchen Chen , Elchanan Mossel

Modern sociology has profoundly uncovered many convincing social criteria for behavioural analysis. Unfortunately, many of them are too subjective to be measured and presented in online social networks. On the other hand, data mining…

Social and Information Networks · Computer Science 2023-01-09 Xiangguo Sun , Hong Cheng , Bo Liu , Jia Li , Hongyang Chen , Guandong Xu , Hongzhi Yin

Hypergraphs that can depict interactions beyond pairwise edges have emerged as an appropriate representation for modeling polyadic relations in complex systems. With the recent surge of interest in researching hypergraphs, the centrality…

Physics and Society · Physics 2022-08-10 Xiao-Wen Xie , Xiu-Xiu Zhan , Zi-Ke Zhang , Chuang Liu

Hypergraphs serve as an effective tool widely adopted to characterize higher-order interactions in complex systems. The most intuitive and commonly used mathematical instrument for representing a hypergraph is the incidence matrix, in which…

Social and Information Networks · Computer Science 2026-04-22 Junhao Bian , Yilin Bi , Tao Zhou

Social networks have enabled user-specific advertisements and recommendations on their platforms, which puts a significant focus on Influence Maximisation (IM) for target advertising and related tasks. The aim is to identify nodes in the…

Social and Information Networks · Computer Science 2022-12-01 Inder Khatri , Aaryan Gupta , Arjun Choudhry , Aryan Tyagi , Dinesh Kumar Vishwakarma , Mukesh Prasad

Several behavioral, social, and public health interventions, such as suicide/HIV prevention or community preparedness against natural disasters, leverage social network information to maximize outreach. Algorithmic influence maximization…

Social and Information Networks · Computer Science 2020-12-17 Aida Rahmattalabi , Shahin Jabbari , Himabindu Lakkaraju , Phebe Vayanos , Max Izenberg , Ryan Brown , Eric Rice , Milind Tambe

Continuous influence maximization (CIM) generalizes the original influence maximization by incorporating general marketing strategies: a marketing strategy mix is a vector $\boldsymbol x = (x_1,\dots,x_d)$ such that for each node $v$ in a…

Optimization and Control · Mathematics 2019-11-22 Wei Chen , Weizhong Zhang , Haoyu Zhao

Information diffusion and influence maximization are important and extensively studied problems in social networks. Various models and algorithms have been proposed in the literature in the context of the influence maximization problem. A…

Computer Science and Game Theory · Computer Science 2015-03-18 Mayur Mohite , Y. Narahari

We consider the influence maximization problem over a temporal graph, where there is a single fixed source. We deviate from the standard model of influence maximization, where the goal is to choose the set of most influential vertices.…

Computational Complexity · Computer Science 2023-03-24 Argyrios Deligkas , Michelle Döring , Eduard Eiben , Tiger-Lily Goldsmith , George Skretas

Influence maximization--the problem of identifying a subset of k influential seeds (vertices) in a network--is a classical problem in network science with numerous applications. The problem is NP-hard, but there exist efficient polynomial…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Reet Barik , Wade Cappa , S M Ferdous , Marco Minutoli , Mahantesh Halappanavar , Ananth Kalyanaraman

Given a social network G and a constant k, the influence maximization problem asks for k nodes in G that (directly and indirectly) influence the largest number of nodes under a pre-defined diffusion model. This problem finds important…

Social and Information Networks · Computer Science 2014-05-02 Youze Tang , Xiaokui Xiao , Yanchen Shi

Many phenomena in real world social networks are interpreted as spread of influence between activated and non-activated network elements. These phenomena are formulated by combinatorial graphs, where vertices represent the elements and…

Discrete Mathematics · Computer Science 2024-03-01 Siavash Askari , Manouchehr Zaker

Influence maximization has found applications in a wide range of real-world problems, for instance, viral marketing of products in an online social network, and information propagation of valuable information such as job vacancy…

Social and Information Networks · Computer Science 2021-11-04 Junaid Ali , Mahmoudreza Babaei , Abhijnan Chakraborty , Baharan Mirzasoleiman , Krishna P. Gummadi , Adish Singla

The threshold model is a simple but classic model of contagion spreading in complex social systems. To capture the complex nature of social influencing we investigate numerically and analytically the transition in the behavior of…

For the purpose of maximizing the spread of influence caused by a certain small number k of nodes in a social network, we are asked to find a k-subset of nodes (i.e., a seed set) with the best capacity to influence the nodes not in it. This…

Social and Information Networks · Computer Science 2022-06-07 Enqiang Zhu , Haosen Wang , Yu Zhang , Kai Zhang , Chanjuan Liu

In this paper, we revisit the problem of influence maximization with fairness, which aims to select k influential nodes to maximise the spread of information in a network, while ensuring that selected sensitive user attributes are fairly…

Social and Information Networks · Computer Science 2023-06-07 Yuting Feng , Ankitkumar Patel , Bogdan Cautis , Hossein Vahabi

The increasing prominence of temporal networks in online social platforms and dynamic communication systems has made influence maximization a critical research area. Various diffusion models have been proposed to capture the spread of…

Social and Information Networks · Computer Science 2025-07-31 Aaqib Zahoor , Iqra Altaf Gillani , Janibul Bashir

We consider the problem of selecting a minimum size subset of nodes in a network, that allows to activate all the nodes of the network. We present a fast and simple algorithm that, in real-life networks, produces solutions that outperform…

Data Structures and Algorithms · Computer Science 2016-10-18 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno