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When we search online for content, we are constantly exposed to rankings. For example, web search results are presented as a ranking, and online bookstores often show us lists of best-selling books. While popularity-based ranking algorithms…

Physics and Society · Physics 2019-03-28 Shilun Zhang , Matúš Medo , Linyuan Lü , Manuel Sebastian Mariani

We study the problem of identifying different behaviors occurring in different parts of a large heterogenous network. We zoom in to the network using lenses of different sizes to capture the local structure of the network. These network…

Social and Information Networks · Computer Science 2019-01-29 Kshiteesh Hegde , Malik Magdon-Ismail

Graphs can model real-world, complex systems by representing entities and their interactions in terms of nodes and edges. To better exploit the graph structure, graph neural networks have been developed, which learn entity and edge…

Machine Learning · Computer Science 2022-06-06 Tong Liu , Yushan Liu , Marcel Hildebrandt , Mitchell Joblin , Hang Li , Volker Tresp

Network autocorrelation models are widely used to evaluate the impact of social influence on some variable of interest. This is a large class of models that parsimoniously accounts for how one's neighbors influence one's own behaviors or…

Social and Information Networks · Computer Science 2020-05-21 Daniel K. Sewell

In the search engine of Google, the PageRank algorithm plays a crucial role in ranking the search results. The algorithm quantifies the importance of each web page based on the link structure of the web. We first provide an overview of the…

Systems and Control · Computer Science 2012-03-30 Hideaki Ishii , Roberto Tempo

The entities in directed networks arising from real-world interactions are often naturally organized under some hierarchical structure. Given a directed, weighted, graph with edges and node labels, we introduce ranking problem where the…

Data Structures and Algorithms · Computer Science 2025-02-04 Chamalee Wickrama Arachchi , Nikolaj Tatti

We address the problem of using observational data to estimate peer contagion effects, the influence of treatments applied to individuals in a network on the outcomes of their neighbors. A main challenge to such estimation is that homophily…

Social and Information Networks · Computer Science 2022-05-18 Irina Cristali , Victor Veitch

HodgeRank generalizes ranking algorithms, e.g. Google PageRank, to rank alternatives based on real-world (often incomplete) data using graphs and discrete exterior calculus. It analyzes multipartite interactions on high-dimensional networks…

Quantum Physics · Physics 2025-06-26 Caesnan M. G. Leditto , Angus Southwell , Behnam Tonekaboni , Muhammad Usman , Kavan Modi

PageRank has been widely used to measure the authority or the influence of a user in social networks. However, conventional PageRank only makes use of edge-based relations, which represent first-order relations between two connected nodes.…

Social and Information Networks · Computer Science 2019-12-30 Huan Zhao , Xiaogang Xu , Yangqiu Song , Dik Lun Lee , Zhao Chen , Han Gao

Identifying influential node groups in complex networks is crucial for optimizing information dissemination, epidemic control, and viral marketing. However, traditional centrality-based methods often focus on individual nodes, resulting in…

Social and Information Networks · Computer Science 2025-11-11 Wenxin Zheng , Wenfeng Shi , Tianlong Fan , Linyuan Lü

Recent advances have focused mainly on the resilience of the monoplex network in attacks targeting random nodes or links, as well as the robustness of the network against cascading attacks. However, very little research has been done to…

Social and Information Networks · Computer Science 2024-02-21 Boqian Ma , Hao Ren , Jiaojiao Jiang

Graph Neural Networks (GNNs) excel in node classification tasks but often assume homophily, where connected nodes share similar labels. This assumption does not hold in many real-world heterophilic graphs. Existing models for heterophilic…

Machine Learning · Computer Science 2025-10-10 Yumeng Wang , Zengyi Wo , Wenjun Wang , Xingcheng Fu , Minglai Shao

Influence maximization, fundamental for word-of-mouth marketing and viral marketing, aims to find a set of seed nodes maximizing influence spread on social network. Early methods mainly fall into two paradigms with certain benefits and…

Social and Information Networks · Computer Science 2014-02-18 Suqi Cheng , Hua-Wei Shen , Junming Huang , Wei Chen , Xue-Qi Cheng

Spectral centrality measures allow to identify influential individuals in social groups, to rank Web pages by their popularity, and even to determine the impact of scientific researches. The centrality score of a node within a network…

Physics and Society · Physics 2011-09-22 Vincenzo Nicosia , Regino Criado , Miguel Romance , Giovanni Russo , Vito Latora

Most recent surveys and reviews on Influential Node Ranking Methods (INRMs) hightlight discussions on the methods' technical details, but there still lacks in-depth research on the fundamental issue of how to verify the considerable…

Social and Information Networks · Computer Science 2023-03-24 Bing Zhang , Xuyang Zhao , Jiangtian Nie , Jianhang Tang , Yuling Chen , Yang Zhang , Dusit Niyato

Recommender systems are a critical component of e-commercewebsites. The rapid development of online social networking services provides an opportunity to explore social networks together with information used in traditional recommender…

Social and Information Networks · Computer Science 2024-12-18 Xin Li , Mengyue Wang , T. -P. Liang

Motivated by the growing number of mobile devices capable of connecting and exchanging messages, we propose a methodology aiming to model and analyze node mobility in networks. We note that many existing solutions in the literature rely on…

Networking and Internet Architecture · Computer Science 2021-11-12 Matheus F. C. Barros , Carlos H. G. Ferreira , Bruno Pereira dos Santos , Lourenço A. P. Júnior , Marco Mellia , Jussara M. Almeida

Personalalized PageRank uses random walks to determine the importance or authority of nodes in a graph from the point of view of a given source node. Much past work has considered how to compute personalized PageRank from a given source…

Data Structures and Algorithms · Computer Science 2014-04-15 Peter Lofgren , Ashish Goel

Identifying the most influential spreaders is an important issue in controlling the spreading processes in complex networks. Centrality measures are used to rank node influence in a spreading dynamics. Here we propose a node influence…

Physics and Society · Physics 2016-03-23 Ying Liu , Ming Tang , Tao Zhou , Younghae Do

Development of efficient business process models and determination of their characteristic properties are subject of intense interdisciplinary research. Here, we consider a business process model as a directed graph. Its nodes correspond to…

Computers and Society · Computer Science 2011-12-30 M. Abel , D. L. Shepelyansky