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The ubiquity of social platforms has reshaped the way information, behaviors, and advertisements diffuse across networks, with influence propagation often initiated by a small set of ``seed'' users. While much of the literature emphasizes…

Social and Information Networks · Computer Science 2026-05-28 Fangzhu Shen , Amir Gilad , Sudeepa Roy

We introduce a model for innovation-, evolution- and opinion dynamics whose spreading is dictated by unanimity rules, i.e. a node will change its (binary) state only if all of its neighbours have the same corresponding state. It is shown…

Physics and Society · Physics 2008-12-01 Renaud Lambiotte , Stefan Thurner , Rudolf Hanel

By studying varies dynamical processes, including coupled maps, cellular automata and coupled differential equations, on five different kinds of known networks, we found a positive relation between signal correlation and node's degree. Thus…

Statistical Mechanics · Physics 2007-05-23 Lei Yang , Liang Huang , Yong Zhang , Kongqing Yang

Stochastic processes on graphs are a powerful tool for modelling complex dynamical systems such as epidemics. A recent line of work focused on the inference problem where one aims to estimate the state of every node at every time, starting…

Machine Learning · Statistics 2026-02-23 Davide Ghio , Fabrizio Boncoraglio , Lenka Zdeborová

We propose and unify classes of different models for information propagation over graphs. In a first class, propagation is modelled as a wave which emanates from a set of \emph{known} nodes at an initial time, to all other \emph{unknown}…

Numerical Analysis · Mathematics 2025-09-10 Oliver R. A. Dunbar , Charles M. Elliott , Lisa Maria Kreusser

We study the problem of robust influence maximization in dynamic diffusion networks. In line with recent works, we consider the scenario where the network can undergo insertion and removal of nodes and edges, in discrete time steps, and the…

Databases · Computer Science 2024-12-17 Arkaprava Saha , Bogdan Cautis , Xiaokui Xiao , Laks V. S. Lakshmanan

In social and biological systems, the structural heterogeneity of interaction networks gives rise to the emergence of a small set of influential nodes, or influencers, in a series of dynamical processes. Although much smaller than the…

Physics and Society · Physics 2018-05-04 Sen Pei , Flaviano Morone , Hernán A. Makse

Influence maximization in temporal social networks presents unique challenges due to the dynamic interactions that evolve over time. Traditional diffusion models often fall short in capturing the real-world complexities of active-inactive…

Social and Information Networks · Computer Science 2025-07-24 Aaqib Zahoor , Iqra Altaf Gillani , Janib ul Bashir

Most existing works on transportation dynamics focus on networks of a fixed structure, but networks whose nodes are mobile have become widespread, such as cell-phone networks. We introduce a model to explore the basic physics of…

Physics and Society · Physics 2015-05-30 Han-Xin Yang , Wen-Xu Wang , Yan-Bo Xie , Ying-Cheng Lai , Bing-Hong Wang

This paper studies the multi-cascade influence maximization problem, which explores strategies for launching one information cascade in a social network with multiple existing cascades. With natural extensions to the classic models, we…

Social and Information Networks · Computer Science 2019-12-03 Guangmo Tong , Ruiqi Wang , Zheng Dong

Diffusion processes are instrumental to describe the movement of a continuous quantity in a generic network of interacting agents. Here, we present a probabilistic framework for diffusion in networks and propose to classify agent…

Social and Information Networks · Computer Science 2015-08-28 Wai Hong Ronald Chan , Matthias Wildemeersch , Tony Q. S. Quek

With great theoretical and practical significance, identifying the node spreading influence of complex network is one of the most promising domains. So far, various topology-based centrality measures have been proposed to identify the node…

Physics and Society · Physics 2014-08-27 Jian-Hong Lin , Jian-Guo Liu , Qiang Guo

The influence maximization (IM) problem involves identifying a set of key individuals in a social network who can maximize the spread of influence through their network connections. With the advent of geometric deep learning on graphs,…

Social and Information Networks · Computer Science 2024-12-11 Yunming Hui , Shihan Wang , Melisachew Wudage Chekol , Stevan Rudinac , Inez Maria Zwetsloot

We propose a data-driven approach for propagating uncertainty in stochastic power grid simulations and apply it to the estimation of transmission line failure probabilities. A reduced-order equation governing the evolution of the observed…

Computational Engineering, Finance, and Science · Computer Science 2024-01-08 Hongli Zhao , Tyler E. Maltba , D. Adrian Maldonado , Emil Constantinescu , Mihai Anitescu

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

A premise at a heart of network analysis is that entities in a network derive utilities from their connections. The {\em influence} of a seed set $S$ of nodes is defined as the sum over nodes $u$ of the {\em utility} of $S$ to $u$. {\em…

Social and Information Networks · Computer Science 2016-02-02 Edith Cohen , Daniel Delling , Thomas Pajor , Renato F. Werneck

A major achievement in the study of complex networks is the observation that diverse systems, from sub-cellular biology to social networks, exhibit universal topological characteristics. Yet this universality does not naturally translate to…

Physics and Society · Physics 2018-01-29 Chittaranjan Hens , Uzi Harush , Reuven Cohen , Baruch Barzel

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

We propose a generalized framework for influence maximization in large-scale, time evolving networks. Many real-life influence graphs such as social networks, telephone networks, and IP traffic data exhibit dynamic characteristics, e.g.,…

Social and Information Networks · Computer Science 2018-08-13 Vijaya Krishna Yalavarthi , Arijit Khan

Identifying emerging influential or popular node/item in future on network is a current interest of the researchers. Most of previous works focus on identifying leaders in time evolving networks on the basis of network structure or node's…

Social and Information Networks · Computer Science 2016-09-07 Khushnood Abbas , Mingsheng Shang , Cai Shi-Min , Xiaoyu Shi
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