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In static graphs, the betweenness centrality of a graph vertex measures how many times this vertex is part of a shortest path between any two graph vertices. Betweenness centrality is efficiently computable and it is a fundamental tool in…

Data Structures and Algorithms · Computer Science 2021-05-28 Maciej Rymar , Hendrik Molter , André Nichterlein , Rolf Niedermeier

Communities in networks are commonly considered as highly cohesive subgraphs which are well separated from the rest of the network. However, cohesion and separation often cannot be maximized at the same time, which is why a compromise is…

Social and Information Networks · Computer Science 2018-12-07 Frank Havemann , Jochen Gläser , Michael Heinz

Discovering dense subgraphs and understanding the relations among them is a fundamental problem in graph mining. We want to not only identify dense subgraphs, but also build a hierarchy among them (e.g., larger but sparser subgraphs formed…

Social and Information Networks · Computer Science 2016-10-18 A. Erdem Sariyuce , Ali Pinar

Spreading processes on graphs arise in a host of application domains, from the study of online social networks to viral marketing to epidemiology. Various discrete-time probabilistic models for spreading processes have been proposed. These…

Social and Information Networks · Computer Science 2021-09-24 Abram Magner , Carolyn Kaminski , Petko Bogdanov

The current main stream methods formulate their video saliency mainly from two independent venues, i.e., the spatial and temporal branches. As a complementary component, the main task for the temporal branch is to intermittently focus the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-21 Chenglizhao Chen , Guotao Wang , Chong Peng , Dingwen Zhang , Yuming Fang , Hong Qin

We present a new approach for solving (minimum disagreement) correlation clustering that results in sublinear algorithms with highly efficient time and space complexity for this problem. In particular, we obtain the following algorithms for…

Data Structures and Algorithms · Computer Science 2021-09-30 Sepehr Assadi , Chen Wang

Temporal social networks of human interactions are preponderant in understanding the fundamental patterns of human behavior. In these networks, interactions occur locally between individuals (i.e., nodes) who connect with each other at…

Physics and Society · Physics 2022-10-11 Shaunette T. Ferguson , Teruyoshi Kobayashi

Quantifying the structural and functional differences of temporal networks is a fundamental and challenging problem in the era of big data. This work proposes a temporal dissimilarity measure for temporal network comparison based on the…

Social and Information Networks · Computer Science 2021-11-03 Xiu-Xiu Zhan , Chuang Liu , Zhipeng Wang , Huijuang Wang , Petter Holme , Zi-Ke Zhang

In this paper, we study temporal splitting algorithms for multiscale problems. The exact fine-grid spatial problems typically require some reduction in degrees of freedom. Multiscale algorithms are designed to represent the fine-scale…

Numerical Analysis · Mathematics 2021-06-02 Yalchin Efendiev , Sai-Mang Pun , Petr N. Vabishchevich

Deep learning methods achieve remarkable predictive performance in modeling complex, large-scale data. However, assessing the quality of derived models has become increasingly challenging, as more classical statistical assumptions may no…

Machine Learning · Statistics 2026-03-02 Daniele Zambon , Cesare Alippi

Querying cohesive subgraphs on temporal graphs with various time constraints has attracted intensive research interests recently. In this paper, we study a novel Temporal k-Core Query (TCQ) problem: given a time interval, find all distinct…

Databases · Computer Science 2023-03-21 Junyong Yang , Ming Zhong , Yuanyuan Zhu , Tieyun Qian , Mengchi Liu , Jeffrey Xu Yu

We consider the task of minimizing the sum of convex functions stored in a decentralized manner across the nodes of a communication network. This problem is relatively well-studied in the scenario when the objective functions are smooth, or…

Optimization and Control · Mathematics 2024-05-29 Dmitry Kovalev , Ekaterina Borodich , Alexander Gasnikov , Dmitrii Feoktistov

We introduce a random hypergraph model for core-periphery structure. By leveraging our model's sufficient statistics, we develop a novel statistical inference algorithm that is able to scale to large hypergraphs with runtime that is…

Social and Information Networks · Computer Science 2022-06-03 Marios Papachristou , Jon Kleinberg

Despite the traditional focus of network science on static networks, most networked systems of scientific interest are characterized by temporal links. By disrupting the paths, link temporality has been shown to frustrate many dynamical…

Adaptation and Self-Organizing Systems · Physics 2018-02-07 Aming Li , Sean P. Cornelius , Yang-Yu Liu , Long Wang , Albert-László Barabási

Researchers, policy makers, and engineers need to make sense of data on spreading processes as diverse as viral infections, water contamination, and misinformation in social networks. Classical questions include predicting infection…

Data Structures and Algorithms · Computer Science 2025-03-19 Ben Bals

Multi-layered networks represent a major advance in the description of natural complex systems, and their study has shed light on new physical phenomena. Despite its importance, however, the role of the temporal dimension in their structure…

Physics and Society · Physics 2017-09-07 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

Understanding how a vertex relates to a set of vertices is a fundamental task in graph analysis. Given a graph $G$ and a vertex set $X \subseteq V(G)$, consider the collection of subsets of the form $N(u) \cap X$ where $u$ ranges over all…

Data Structures and Algorithms · Computer Science 2025-12-01 Christine Awofeso , Pål Grønås Drange , Patrick Greaves , Oded Lachish , Felix Reidl

The problem of finding the densest subgraph in a given graph has several applications in graph mining, particularly in areas like social network analysis, protein and gene analyses etc. Depending on the application, finding dense subgraphs…

Data Structures and Algorithms · Computer Science 2019-11-07 Naga V. C. Gudapati , Enrico Malaguti , Michele Monaci

The customary perspective to reason about epidemic mitigation in temporal networks hinges on the identification of nodes with specific features or network roles. The ensuing individual-based control strategies, however, are difficult to…

Physics and Society · Physics 2015-01-13 Laetitia Gauvin , André Panisson , Alain Barrat , Ciro Cattuto

A great variety of complex systems ranging from user interactions in communication networks to transactions in financial markets can be modeled as temporal graphs, which consist of a set of vertices and a series of timestamped and directed…

Social and Information Networks · Computer Science 2020-07-29 Jingjing Wang , Yanhao Wang , Wenjun Jiang , Yuchen Li , Kian-Lee Tan