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The widespread relevance of complex networks is a valuable tool in the analysis of a broad range of systems. There is a demand for tools which enable the extraction of meaningful information and allow the comparison between different…

Physics and Society · Physics 2011-03-30 Kathryn Cooper , Mauricio Barahona

We study the problem of inferring network topology from information cascades, in which the amount of time taken for information to diffuse across an edge in the network follows an unknown distribution. Unlike previous studies, which assume…

Social and Information Networks · Computer Science 2019-03-05 Feng Ji , Wenchang Tang , Wee Peng Tay , Edwin K. P. Chong

Link prediction in complex networks has attracted considerable attention from interdisciplinary research communities, due to its ubiquitous applications in biological networks, social networks, transportation networks, telecommunication…

Social and Information Networks · Computer Science 2020-12-22 Ece C. Mutlu , Toktam A. Oghaz , Amirarsalan Rajabi , Ivan Garibay

The Straightness is a measure designed to characterize a pair of vertices in a spatial graph. It is defined as the ratio of the Euclidean distance to the graph distance between these vertices. It is often used as an average, for instance to…

Discrete Mathematics · Computer Science 2023-05-12 Vincent Labatut

Mining discriminative features for graph data has attracted much attention in recent years due to its important role in constructing graph classifiers, generating graph indices, etc. Most measurement of interestingness of discriminative…

Machine Learning · Computer Science 2013-01-29 Xiangnan Kong , Philip S. Yu , Xue Wang , Ann B. Ragin

The widespread use of graph data in various applications and the highly dynamic nature of today's networks have made it imperative to analyze structural trends in dynamic graphs on a continual basis. The shortest path is a fundamental…

Databases · Computer Science 2023-07-13 Qingshuai Feng , You Peng , Wenjie Zhang , Xuemin Lin , Ying Zhang

Similarity measures are used extensively in machine learning and data science algorithms. The newly proposed graph Relative Hausdorff (RH) distance is a lightweight yet nuanced similarity measure for quantifying the closeness of two graphs.…

Discrete Mathematics · Computer Science 2019-06-13 Sinan G. Aksoy , Kathleen E. Nowak , Emilie Purvine , Stephen J. Young

The rise of graph representation learning as the primary solution for many different network science tasks led to a surge of interest in the fairness of this family of methods. Link prediction, in particular, has a substantial social…

Machine Learning · Computer Science 2023-02-23 Indro Spinelli , Riccardo Bianchini , Simone Scardapane

Distance plays a fundamental role in measuring similarity between objects. Various visualization techniques and learning tasks in statistics and machine learning such as shape matching, classification, dimension reduction and clustering…

Machine Learning · Statistics 2025-04-23 Dianbin Bao , Kisung You , Lizhen Lin

Acyclic digraphs arise in many natural and artificial processes. Among the broader set, dynamic citation networks represent a substantively important form of acyclic digraphs. For example, the study of such networks includes the spread of…

Physics and Society · Physics 2011-07-26 Michael J. Bommarito , Daniel Martin Katz , Jon Zelner , James H. Fowler

Predicting missing links in complex networks requires algorithms that are able to explore statistical regularities in the existing data. Here we investigate the interplay between algorithm efficiency and network structures through the…

Social and Information Networks · Computer Science 2025-02-14 Alexey Vlaskin , Eduardo G. Altmann

Measuring the distances between vertices on graphs is one of the most fundamental components in network analysis. Since finding shortest paths requires traversing the graph, it is challenging to obtain distance information on large graphs…

Social and Information Networks · Computer Science 2019-02-12 Hongyang Zhang , Huacheng Yu , Ashish Goel

Identifying and quantifying structural dissimilarities between complex networks is a fundamental and challenging problem in network science. Previous network comparison methods are based on the structural features, such as the length of…

Social and Information Networks · Computer Science 2021-11-29 Zhipeng Wang , Xiu-Xiu Zhan , Chuang Liu , Zi-Ke Zhang

Trajectory clustering enables the discovery of common patterns in trajectory data. Current methods of trajectory clustering rely on a distance measure between two points in order to measure the dissimilarity between two trajectories. The…

Artificial Intelligence · Computer Science 2023-10-31 Zi Jing Wang , Ye Zhu , Kai Ming Ting

We give an algorithm that takes a directed graph $G$ undergoing $m$ edge insertions with lengths in $[1, W]$, and maintains $(1+\epsilon)$-approximate shortest path distances from a fixed source $s$ to all other vertices. The algorithm is…

Data Structures and Algorithms · Computer Science 2025-06-25 Yang P. Liu

The betweenness centrality (BC) of a node in a network (or graph) is a measure of its importance in the network. BC is widely used in a large number of environments such as social networks, transport networks, security/mobile networks and…

Data Structures and Algorithms · Computer Science 2019-02-06 Matteo Pontecorvi , Vijaya Ramachandran

Vertices with high betweenness and closeness centrality represent influential entities in a network. An important problem for time varying networks is to know a-priori, using minimal computation, whether the influential vertices of the…

Social and Information Networks · Computer Science 2018-06-21 Soumya Sarkar , Sandipan Sikdar , Animesh Mukherjee , Sanjukta Bhowmick

The study of vertex centrality measures is a key aspect of network analysis. Naturally, such centrality measures have been generalized to groups of vertices; for popular measures it was shown that the problem of finding the most central…

Data Structures and Algorithms · Computer Science 2019-10-31 Eugenio Angriman , Alexander van der Grinten , Aleksandar Bojchevski , Daniel Zügner , Stephan Günnemann , Henning Meyerhenke

Link prediction attempts to predict whether an unseen edge exists based on only a portion of edges of a graph. A flurry of methods have been introduced in recent years that attempt to make use of graph neural networks (GNNs) for this task.…

Machine Learning · Computer Science 2023-11-21 Juanhui Li , Harry Shomer , Haitao Mao , Shenglai Zeng , Yao Ma , Neil Shah , Jiliang Tang , Dawei Yin

We define and study the link prediction problem in bipartite networks, specializing general link prediction algorithms to the bipartite case. In a graph, a link prediction function of two vertices denotes the similarity or proximity of the…

Machine Learning · Computer Science 2010-07-27 Jérôme Kunegis , Ernesto W. De Luca , Sahin Albayrak
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