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Influence propagation in networks has enjoyed fruitful applications and has been extensively studied in literature. However, only very limited preliminary studies tackled the challenges in handling highly dynamic changes in real networks.…

Social and Information Networks · Computer Science 2018-03-06 Yu Yang , Zhefeng Wang , Tianyuan Jin , Jian Pei , Enhong Chen

While Graph Neural Networks (GNNs) have recently become the de facto standard for modeling relational data, they impose a strong assumption on the availability of the node or edge features of the graph. In many real-world applications,…

Machine Learning · Computer Science 2022-05-24 Emanuele Rossi , Henry Kenlay , Maria I. Gorinova , Benjamin Paul Chamberlain , Xiaowen Dong , Michael Bronstein

We consider the problem of maximizing influence in a social network. We focus on the case that the social network is a directed bipartite graph whose arcs join senders to receivers. We consider both the case of deterministic networks and…

Optimization and Control · Mathematics 2013-07-16 Lisa Elkin , Ting Kei Pong , Stephen Vavasis

We consider the problem of identifying the source of an epidemic, spreading through a network, from a complete observation of the infected nodes in a snapshot of the network. Previous work on the problem has often employed geometric,…

Social and Information Networks · Computer Science 2019-06-13 S. Jalil Kazemitabar , Arash A. Amini

Let G=(V,E) be a graph. A vertex dominates itself and all its neighbors, i.e., every vertex v in V dominates its closed neighborhood N[v]. A vertex set D in G is an efficient dominating (e.d.) set for G if for every vertex v in V, there is…

Discrete Mathematics · Computer Science 2012-07-09 Andreas Brandstädt , Arne Leitert , Dieter Rautenbach

The collection of all the strongly connected components in a directed graph, among each cluster of which any node has a path to another node, is a typical example of the intertwining structure and dynamics in complex networks, as its…

Physics and Society · Physics 2016-05-31 Jin-Hua Zhao , Hai-Jun Zhou

In the context of influence propagation in a social graph, we can identify three orthogonal dimensions - the number of seed nodes activated at the beginning (known as budget), the expected number of activated nodes at the end of the…

Discrete Mathematics · Computer Science 2011-11-08 Amit Goyal , Francesco Bonchi , Laks V. S. Lakshmanan , Suresh Venkatasubramanian

Given a directed graph (representing a social network), the influence maximization problem is to find k nodes which, when influenced (or activated), would maximize the number of remaining nodes that get activated. In this paper, we consider…

Social and Information Networks · Computer Science 2020-12-01 Hemant Gehlot , Shreyas Sundaram , Satish V. Ukkusuri

Given a social network $G$ and an integer $k$, the influence maximization (IM) problem asks for a seed set $S$ of $k$ nodes from $G$ to maximize the expected number of nodes influenced via a propagation model. The majority of the existing…

Social and Information Networks · Computer Science 2020-04-15 Keke Huang , Jing Tang , Kai Han , Xiaokui Xiao , Wei Chen , Aixin Sun , Xueyan Tang , Andrew Lim

Maximizing influences in complex networks is a practically important but computationally challenging task for social network analysis, due to its NP- hard nature. Most current approximation or heuristic methods either require tremendous…

Social and Information Networks · Computer Science 2023-09-15 Changan Liu , Changjun Fan , Zhongzhi Zhang

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

We describe a new sampling-based method to determine cuts in an undirected graph. For a graph (V, E), its cycle space is the family of all subsets of E that have even degree at each vertex. We prove that with high probability, sampling the…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-22 David Pritchard , Ramakrishna Thurimella

The problem of influence maximization, i.e., finding the set of nodes having maximal influence on a network, is of great importance for several applications. In the past two decades, many heuristic metrics to spot influencers have been…

Physics and Society · Physics 2023-06-07 Siddharth Patwardhan , Filippo Radicchi , Santo Fortunato

We introduce and study a novel majority-based opinion diffusion model. Consider a graph $G$, which represents a social network. Assume that initially a subset of nodes, called seed nodes or early adopters, are colored either black or white,…

Data Structures and Algorithms · Computer Science 2020-12-08 Ahad N. Zehmakan

In this paper we consider a simple virus infection spread model on a finite population of $n$ agents connected by some neighborhood structure. Given a graph $G$ on $n$ vertices, we begin with some fixed number of initial infected vertices.…

Probability · Mathematics 2013-03-21 Antar Bandyopadhyay , Farkhondeh Sajadi

How would admissions look like in a university program for influencers? In the realm of social network analysis, influence maximization and link prediction stand out as pivotal challenges. Influence maximization focuses on identifying a set…

Social and Information Networks · Computer Science 2025-07-08 Marina Lin , Laura P. Schaposnik , Raina Wu

Identifying influential nodes is crucial in social network analysis. Existing methods often neglect local opinion leader tendencies, resulting in overlapping influence ranges for seed nodes. Furthermore, approaches based on vanilla graph…

Social and Information Networks · Computer Science 2025-08-15 Ronghua Lin , Runbin Yao , Yijia Wang , Junjie Lin , Zhengyang Wu , Yong Tang

The online dominating set problem is an online variant of the minimum dominating set problem, which is one of the most important NP-hard problems on graphs. This problem is defined as follows: Given an undirected graph $G = (V, E)$, in…

Data Structures and Algorithms · Computer Science 2017-11-01 Koji M. Kobayashi

This paper investigates causal influences between agents linked by a social graph and interacting over time. In particular, the work examines the dynamics of social learning models and distributed decision-making protocols, and derives…

Social and Information Networks · Computer Science 2026-05-19 Mert Kayaalp , Ali H. Sayed

Network detection is an important capability in many areas of applied research in which data can be represented as a graph of entities and relationships. Oftentimes the object of interest is a relatively small subgraph in an enormous,…

Social and Information Networks · Computer Science 2018-04-12 Steven T. Smith , Kenneth D. Senne , Scott Philips , Edward K. Kao , Garrett Bernstein
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