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In network analysis and graph mining, closeness centrality is a popular measure to infer the importance of a vertex. Computing closeness efficiently for individual vertices received considerable attention. The NP-hard problem of group…

Data Structures and Algorithms · Computer Science 2019-11-11 Eugenio Angriman , Alexander van der Grinten , Henning Meyerhenke

Rankings, especially those in search and recommendation systems, often determine how people access information and how information is exposed to people. Therefore, how to balance the relevance and fairness of information exposure is…

Information Retrieval · Computer Science 2021-02-22 Tao Yang , Qingyao Ai

The emergence of massive graph data sets requires fast mining algorithms. Centrality measures to identify important vertices belong to the most popular analysis methods in graph mining. A measure that is gaining attention is forest…

Data Structures and Algorithms · Computer Science 2021-01-18 Alexander van der Grinten , Eugenio Angriman , Maria Predari , Henning Meyerhenke

The Kirchhoff index, which is the sum of the resistance distance between every pair of nodes in a network, is a key metric for gauging network performance, where lower values signify enhanced performance. In this paper, we study the problem…

Discrete Mathematics · Computer Science 2025-03-28 Xiaotian Zhou , Ahad N. Zehmakan , Zhongzhi Zhang

Bayesian networks (BNs) are attractive, because they are graphical and interpretable machine learning models. However, exact inference on BNs is time-consuming, especially for complex problems. To improve the efficiency, we propose a fast…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-14 Jiantong Jiang , Zeyi Wen , Atif Mansoor , Ajmal Mian

Learning good quality neural graph embeddings has long been achieved by minimizing the point-wise mutual information (PMI) for co-occurring nodes in simulated random walks. This design choice has been mostly popularized by the direct…

Social and Information Networks · Computer Science 2022-08-29 Asan Agibetov

Ranking nodes based on their centrality stands a fundamental, yet, challenging problem in large-scale networks. Approximate methods can quickly estimate nodes' centrality and identify the most central nodes, but the ranking for the majority…

Social and Information Networks · Computer Science 2022-03-04 Phuc Thai , My T. Thai , Tam Vu , Thang N. Dinh

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

Suppose there is a spreading process such as an infectious disease propagating on a graph. How would we reduce the number of affected nodes in the spreading process? This question appears in recent studies about implementing mobility…

Social and Information Networks · Computer Science 2023-03-17 Dongyue Li , Tina Eliassi-Rad , Hongyang R. Zhang

A/B testing on platforms often faces challenges from network interference, where a unit's outcome depends not only on its own treatment but also on the treatments of its network neighbors. To address this, cluster-level randomization has…

Methodology · Statistics 2026-02-05 Qianyi Chen , Anpeng Wu , Bo Li , Lu Deng , Yong Wang

We describe a limitation in the expressiveness of the predictive uncertainty estimate given by mean-field variational inference (MFVI), a popular approximate inference method for Bayesian neural networks. In particular, MFVI fails to give…

Machine Learning · Statistics 2019-06-28 Andrew Y. K. Foong , Yingzhen Li , José Miguel Hernández-Lobato , Richard E. Turner

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

In complex networks, especially social networks, networks could be divided into disjoint partitions that the ratio between the number of internal edges (the edges between the vertices within same partition) to the number of outer edges…

Social and Information Networks · Computer Science 2019-02-07 Hamid Shahrivari Joghan , Alireza Bagheri , Meysam Azad

Extracting information from real-world large networks is a key challenge nowadays. For instance, computing a node centrality may become unfeasible depending on the intended centrality due to its computational cost. One solution is to…

Social and Information Networks · Computer Science 2020-11-30 Matheus R. F. Mendonça , André M. S. Barreto , Artur Ziviani

We present a new fully dynamic algorithm for maintaining betweenness centrality (BC) of vertices in a directed graph $G=(V,E)$ with positive edge weights. BC is a widely used parameter in the analysis of large complex networks. We achieve…

Data Structures and Algorithms · Computer Science 2022-04-21 Matteo Pontecorvi , Vijaya Ramachandran

Let G be a planar graph and F a set of additional edges not yet in G. The multiple edge insertion problem (MEI) asks for a drawing of G+F with the minimum number of pairwise edge crossings, such that the subdrawing of G is plane. Finding an…

Discrete Mathematics · Computer Science 2016-08-08 Markus Chimani , Petr Hlineny

Typing Yesterday into the search-bar of your browser provides a long list of websites with, in top places, a link to a video by The Beatles. The order your browser shows its search results is a notable example of the use of network…

Applications · Statistics 2018-10-17 Carla Sciarra , Guido Chiarotti , Francesco Laio , Luca Ridolfi

Let $G=(V,E)$ be an undirected graph with $n$ vertices and $m$ edges, in which each vertex $u$ is assigned an integer priority in $[1,n]$, with 1 being the "highest" priority. Let $M$ be a matching of $G$. We define the priority score of…

Data Structures and Algorithms · Computer Science 2015-12-31 Jonathan Turner

By considering the eigenratio of the Laplacian of the connection graph as synchronizability measure, we propose a procedure for weighting dynamical networks to enhance theirsynchronizability. The method is based on node and edge betweenness…

Physics and Society · Physics 2008-12-31 Mahdi Jalili , Ali Ajdari Rad , Martin Hasler

The advent of online social networks has facilitated fast and wide spread of information. However, some users, especially members of minority groups, may be less likely to receive information spreading on the network, due to their…

Social and Information Networks · Computer Science 2025-12-18 Changan Liu , Xiaotian Zhou , Ahad N. Zehmakan , Zhongzhi Zhang
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