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Spatiotemporal graph represents a crucial data structure where the nodes and edges are embedded in a geometric space and can evolve dynamically over time. Nowadays, spatiotemporal graph data is becoming increasingly popular and important,…

Machine Learning · Computer Science 2022-03-02 Yuanqi Du , Xiaojie Guo , Hengning Cao , Yanfang Ye , Liang Zhao

Many temporal networks exhibit multiple system states, such as weekday and weekend patterns in social contact networks. The detection of such distinct states in temporal network data has recently been explored as it helps reveal underlying…

Social and Information Networks · Computer Science 2020-08-20 Shun Cao , Hiroki Sayama

Identifying communities from temporal networks facilitates the understanding of potential dynamic relationships among entities, which has already received extensive applications. However, existing methods primarily rely on lower-order…

Social and Information Networks · Computer Science 2024-10-22 Huihui Yang , Chunxue Zhu , Longlong Lin , Pingpeng Yuan

We investigate the behavior of data structures when the input and operations are generated by an event graph. This model is inspired by Markov chains. We are given a fixed graph G, whose nodes are annotated with operations of the type…

Data Structures and Algorithms · Computer Science 2015-03-10 Bernard Chazelle , Wolfgang Mulzer

Dynamic techniques are a scalable and effective way to analyze concurrent programs. Instead of analyzing all behaviors of a program, these techniques detect errors by focusing on a single program execution. Often a crucial step in these…

Logic in Computer Science · Computer Science 2025-09-16 Umang Mathur , Andreas Pavlogiannis , Hünkar Can Tunç , Mahesh Viswanathan

In this work we study the topological properties of temporal hypergraphs. Hypergraphs provide a higher dimensional generalization of a graph that is capable of capturing multi-way connections. As such, they have become an integral part of…

Computational Geometry · Computer Science 2023-02-07 Audun Myers , Cliff Joslyn , Bill Kay , Emilie Purvine , Gregory Roek , Madelyn Shapiro

Knowledge graphs are an efficient method for representing and connecting information across various concepts, useful in reasoning, question answering, and knowledge base completion tasks. They organize data by linking points, enabling…

Artificial Intelligence · Computer Science 2025-02-25 Saher Mohamed , Kirollos Farah , Abdelrahman Lotfy , Kareem Rizk , Abdelrahman Saeed , Shahenda Mohamed , Ghada Khouriba , Tamer Arafa

Temporal networks of face-to-face interactions between individuals are useful proxies of the dynamics of social systems on fast time scales. Several empirical statistical properties of these networks have been shown to be robust across a…

Physics and Society · Physics 2023-02-03 Didier Le Bail , Mathieu Génois , Alain Barrat

Social decisions made by individuals are easily influenced by information from their social neighborhoods. A key predictor of social contagion is the multiplicity of social contexts inside the individual's contact neighborhood, which is…

Databases · Computer Science 2020-07-16 Jinbin Huang , Xin Huang , Jianliang Xu

Studies of dynamics on temporal networks often represent the network as a series of "snapshots," static networks active for short durations of time. We argue that successive snapshots can be aggregated if doing so has little effect on the…

Social and Information Networks · Computer Science 2024-04-02 Andrea J. Allen , Cristopher Moore , Laurent Hébert-Dufresne

In a temporal graph, each edge is available at specific points in time. Such an availability point is often represented by a ''temporal edge'' that can be traversed from its tail only at a specific departure time, for arriving in its head…

Data Structures and Algorithms · Computer Science 2023-01-31 Filippo Brunelli , Laurent Viennot

We present a data structure that in a dynamic graph of treedepth at most $d$, which is modified over time by edge insertions and deletions, maintains an optimum-height elimination forest. The data structure achieves worst-case update time…

The evolution of many dynamical systems that describe relationships or interactions between objects can be effectively modeled by temporal networks, which are typically represented as a sequence of static network snapshots. In this paper,…

Social and Information Networks · Computer Science 2025-07-11 Filip Blašković , Tim O. F. Conrad , Stefan Klus , Nataša Djurdjevac Conrad

We investigate disease spreading on eight empirical data sets of human contacts (mostly proximity networks recording who is close to whom, at what time). We compare three levels of representations of these data sets: temporal networks,…

Populations and Evolution · Quantitative Biology 2016-09-14 Petter Holme

We propose a novel dynamic network model to capture evolving latent communities within temporal networks. To achieve this, we decompose each observed dynamic edge between vertices using a Poisson-gamma edge partition model, assigning each…

Social and Information Networks · Computer Science 2024-11-19 Xincan Yu , Sikun Yang

We study the complexity of finding communication trees with the lowest possible completion time for rooted, irregular gather and scatter collective communication operations in fully connected, $k$-ported communication networks under a…

Computational Complexity · Computer Science 2018-11-28 Jesper Larsson Träff

In this paper, we present a flexible and probabilistic framework for tracking topological features in time-varying scalar fields using merge trees and partial optimal transport. Merge trees are topological descriptors that record the…

Computational Geometry · Computer Science 2025-08-26 Mingzhe Li , Xinyuan Yan , Lin Yan , Tom Needham , Bei Wang

Many real-world complex systems are characterized by interactions in groups that change in time. Current temporal network approaches, however, are unable to describe group dynamics, as they are based on pairwise interactions only. Here, we…

Physics and Society · Physics 2023-03-17 Luca Gallo , Lucas Lacasa , Vito Latora , Federico Battiston

We consider the design of adaptive data structures for searching elements of a tree-structured space. We use a natural generalization of the rotation-based online binary search tree model in which the underlying search space is the set of…

Data Structures and Algorithms · Computer Science 2019-08-05 Prosenjit Bose , Jean Cardinal , John Iacono , Grigorios Koumoutsos , Stefan Langerman

Finding interactions between variables in large and high-dimensional datasets is often a serious computational challenge. Most approaches build up interaction sets incrementally, adding variables in a greedy fashion. The drawback is that…

Machine Learning · Statistics 2016-04-27 Rajen Dinesh Shah , Nicolai Meinshausen