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We study ferromagnetic Ising models on finite graphs with an inhomogeneous external field, where a subset of vertices is designated as the boundary. We show that the influence of boundary conditions on any given spin is maximised when the…

Probability · Mathematics 2022-03-29 Jian Ding , Jian Song , Rongfeng Sun

We consider a recently introduced generalization of the Ising model in which individual spin strength can vary. The model is intended for analysis of ordering in systems comprising agents which, although matching in their binarity (i.e.,…

Statistical Mechanics · Physics 2021-09-28 Mariana Krasnytska , Bertrand Berche , Yurij Holovatch , Ralph Kenna

One key problem in network analysis is the so-called influence maximization problem, which consists in finding a set $S$ of at most $k$ seed users, in a social network, maximizing the spread of information from $S$. This paper studies a…

Computer Science and Game Theory · Computer Science 2020-03-19 Ruben Becker , Gianlorenzo D'Angelo , Hugo Gilbert

We study the problem of online influence maximization in social networks. In this problem, a learner aims to identify the set of "best influencers" in a network by interacting with it, i.e., repeatedly selecting seed nodes and observing…

Machine Learning · Computer Science 2019-07-17 Qingyun Wu , Zhige Li , Huazheng Wang , Wei Chen , Hongning Wang

Influence maximization (IM) is formulated as selecting a set of initial users from a social network to maximize the expected number of influenced users. Researchers have made great progress in designing various traditional methods, and…

Social and Information Networks · Computer Science 2023-05-09 Chen Ling , Junji Jiang , Junxiang Wang , My Thai , Lukas Xue , James Song , Meikang Qiu , Liang Zhao

We study a family online influence maximization problems where in a sequence of rounds $t=1,\ldots,T$, a decision maker selects one from a large number of agents with the goal of maximizing influence. Upon choosing an agent, the decision…

Machine Learning · Computer Science 2021-09-27 Gábor Lugosi , Gergely Neu , Julia Olkhovskaya

Influence maximization is a widely studied topic in network science, where the aim is to reach the maximum possible number of nodes, while only targeting a small initial set of individuals. It has critical applications in many fields,…

Social networks have been popular platforms for information propagation. An important use case is viral marketing: given a promotion budget, an advertiser can choose some influential users as the seed set and provide them free or discounted…

Social and Information Networks · Computer Science 2016-11-15 Yixin Bao , Xiaoke Wang , Zhi Wang , Chuan Wu , Francis C. M. Lau

We find the exact critical temperature $T_c$ of the nearest-neighbor ferromagnetic Ising model on an `equilibrium' random graph with an arbitrary degree distribution $P(k)$. We observe an anomalous behavior of the magnetization, magnetic…

Statistical Mechanics · Physics 2016-08-31 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

In the influence maximization (IM) problem, we are given a social network and a budget $k$, and we look for a set of $k$ nodes in the network, called seeds, that maximize the expected number of nodes that are reached by an influence cascade…

Social and Information Networks · Computer Science 2021-05-11 Gianlorenzo D'Angelo , Debashmita Poddar , Cosimo Vinci

Influence maximization (IM) is the problem of finding for a given $s\geq 1$ a set $S$ of $|S|=s$ nodes in a network with maximum influence. With stochastic diffusion models, the influence of a set $S$ of seed nodes is defined as the…

Machine Learning · Computer Science 2019-10-30 Gal Sadeh , Edith Cohen , Haim Kaplan

Given a social network with diffusion probabilities as edge weights and an integer k, which k nodes should be chosen for initial injection of information to maximize influence in the network? This problem is known as Target Set Selection in…

Social and Information Networks · Computer Science 2018-08-17 Suman Banerjee , Mamata Jenamani , Dilip Kumar Pratihar

The steady growth of graph data from social networks has resulted in wide-spread research in finding solutions to the influence maximization problem. In this paper, we propose a holistic solution to the influence maximization (IM) problem.…

Social and Information Networks · Computer Science 2016-02-10 Sainyam Galhotra , Akhil Arora , Shourya Roy

In the last few years, many closed social networks such as WhatsAPP and WeChat have emerged to cater for people's growing demand of privacy and independence. In a closed social network, the posted content is not available to all users or…

Social and Information Networks · Computer Science 2022-09-22 Shixun Huang , Wenqing Lin , Zhifeng Bao , Jiachen Sun

Social connections are conduits through which individuals communicate, information propagates, and diseases spread. Identifying individuals who are more likely to adopt ideas and spread them is essential in order to develop effective…

Social and Information Networks · Computer Science 2024-10-31 Vedran Sekara , Ivan Dotu , Manuel Cebrian , Esteban Moro , Manuel Garcia-Herranz

The influence maximization is the problem of finding a set of social network users, called influencers, that can trigger a large cascade of propagation. Influencers are very beneficial to make a marketing campaign goes viral through social…

Social and Information Networks · Computer Science 2017-08-29 Siwar Jendoubi , Arnaud Martin

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

Influence maximization is a well-studied problem that asks for a small set of influential users from a social network, such that by targeting them as early adopters, the expected total adoption through influence cascades over the network is…

Social and Information Networks · Computer Science 2015-11-06 Wei Lu , Wei Chen , Laks V. S. Lakshmanan

The problem of finding the optimal set of source nodes in a diffusion network that maximizes the spread of information, influence, and diseases in a limited amount of time depends dramatically on the underlying temporal dynamics of the…

Social and Information Networks · Computer Science 2012-05-09 Manuel Gomez Rodriguez , Bernhard Schölkopf

We study fairness in social influence maximization, whereby one seeks to select seeds that spread a given information throughout a network, ensuring balanced outreach among different communities (e.g. demographic groups). In the literature,…

Social and Information Networks · Computer Science 2025-01-31 Shubham Chowdhary , Giulia De Pasquale , Nicolas Lanzetti , Ana-Andreea Stoica , Florian Dorfler