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Temporal graphs represent binary relationships that change along time. They can model the dynamism of, for example, social and communication networks. Temporal graphs are defined as sets of contacts that are edges tagged with the temporal…

Data Structures and Algorithms · Computer Science 2019-01-01 Nieves R. Brisaboa , Diego Caro , Antonio Fariña , M. Andrea Rodriguez

Processing graphs with temporal information (the temporal graphs) has become increasingly important in the real world. In this paper, we study efficient solutions to temporal graph applications using new algorithms for Incremental Minimum…

Data Structures and Algorithms · Computer Science 2025-05-13 Xiangyun Ding , Yan Gu , Yihan Sun

Several approaches have been recently proposed for community search in bipartite graphs. These methods have shown promising results in identifying communities in real-world bipartite networks, such as social and biological networks. Given a…

Social and Information Networks · Computer Science 2026-04-09 Kovan A. Bavi , Xiang Lian

The \emph{maximal $k$-edge-connected subgraphs} problem is a classical graph clustering problem studied since the 70's. Surprisingly, no non-trivial technique for this problem in weighted graphs is known: a very straightforward…

Data Structures and Algorithms · Computer Science 2023-02-07 Chaitanya Nalam , Thatchaphol Saranurak

We initiate the study of coresets for clustering in graph metrics, i.e., the shortest-path metric of edge-weighted graphs. Such clustering problems are essential to data analysis and used for example in road networks and data visualization.…

Data Structures and Algorithms · Computer Science 2022-12-13 Daniel Baker , Vladimir Braverman , Lingxiao Huang , Shaofeng H. -C. Jiang , Robert Krauthgamer , Xuan Wu

Conflict-Based Search (CBS) is a widely used algorithm for solving multi-agent pathfinding (MAPF) problems optimally. The core idea of CBS is to run hierarchical search, when, on the high level the tree of solutions candidates is explored,…

Artificial Intelligence · Computer Science 2022-09-21 Ilya Ivanashev , Anton Andreychuk , Konstantin Yakovlev

With advances in geo-positioning technologies and geo-location services, there are a rapidly growing massive amount of spatio-temporal data collected in many applications such as location-aware devices and wireless communication, in which…

Databases · Computer Science 2018-05-22 Chengyuan Zhangy , Lei Zhuy , Jun Longy , Shuangqiao Liny , Zhan Yangy , Wenti Huang

In this paper, we consider Steiner forest and its generalizations, prize-collecting Steiner forest and k-Steiner forest, when the vertices of the input graph are points in the Euclidean plane and the lengths are Euclidean distances. First,…

Data Structures and Algorithms · Computer Science 2009-12-08 MohammadHossein Bateni , MohammadTaghi Hajiaghayi

Modeling evolving interactions among entities is critical in many real-world tasks. For example, predicting driver maneuvers in traffic requires tracking how neighboring vehicles accelerate, brake, and change lanes relative to one another…

Artificial Intelligence · Computer Science 2025-09-23 Osama Mohammed , Jiaxin Pan , Mojtaba Nayyeri , Daniel Hernández , Steffen Staab

Counting the number of small subgraphs, called motifs, is a fundamental problem in social network analysis and graph mining. Many real-world networks are directed and temporal, where edges have timestamps. Motif counting in directed,…

Social and Information Networks · Computer Science 2026-02-03 Yunjie Pan , Omkar Bhalerao , C. Seshadhri , Nishil Talati

The forest matrix plays a crucial role in network science, opinion dynamics, and machine learning, offering deep insights into the structure of and dynamics on networks. In this paper, we study the problem of querying entries of the forest…

Social and Information Networks · Computer Science 2024-09-10 Haoxin Sun , Xiaotian Zhou , Zhongzhi Zhang

Temporal knowledge graph completion aims to infer the missing facts in temporal knowledge graphs. Current approaches usually embed factual knowledge into continuous vector space and apply geometric operations to learn potential patterns in…

Artificial Intelligence · Computer Science 2024-08-14 Rui Ying , Mengting Hu , Jianfeng Wu , Yalan Xie , Xiaoyi Liu , Zhunheng Wang , Ming Jiang , Hang Gao , Linlin Zhang , Renhong Cheng

Connectivity query processing is a fundamental problem in graph processing. Given an undirected graph and two query vertices, the problem aims to identify whether they are connected via a path. Given frequent edge updates in real graph…

Databases · Computer Science 2026-01-27 Lantian Xu , Junhua Zhang , Dong Wen , Lu Qin , Ying Zhang , Xuemin Lin

Given an undirected graph, the $k$-core is a subgraph in which each node has at least $k$ connections. This is widely used in graph analytics to identify core subgraphs within a larger graph. The sequential $k$-core decomposition algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-03 Bin Guo , Runze Zhao

Temporal graphs model relationships among entities over time. Recent studies applied temporal graphs to abstract complex systems such as continuous communication among participants of social networks. Often, the amount of data is larger…

Data Structures and Algorithms · Computer Science 2022-04-27 Luiz F. A. Brito , Bruno A. N. Travençolo , Marcelo K. Albertini

Temporal graphs are used to abstractly model real-life networks that are inherently dynamic in nature. Given a static underlying graph $G=(V,E)$, a temporal graph on $G$ is a sequence of snapshots $G_t$, one for each time step $t\geq 1$. In…

Computational Complexity · Computer Science 2019-03-12 Eleni C. Akrida , George B. Mertzios , Sotiris Nikoletseas , Christoforos Raptopoulos , Paul G. Spirakis , Viktor Zamaraev

Multi-Agent Path Finding (MAPF), i.e., finding collision-free paths for multiple robots, is important for many applications where small runtimes are necessary, including the kind of automated warehouses operated by Amazon. CBS is a leading…

Artificial Intelligence · Computer Science 2021-03-16 Jiaoyang Li , Wheeler Ruml , Sven Koenig

Mining maximal subgraphs with cohesive structures from a bipartite graph has been widely studied. One important cohesive structure on bipartite graphs is k-biplex, where each vertex on one side disconnects at most k vertices on the other…

Databases · Computer Science 2021-12-30 Kaiqiang Yu , Cheng Long , Shengxin Liu , Da Yan

Accurate traffic prediction is crucial to the guidance and management of urban traffics. However, most of the existing traffic prediction models do not consider the computational burden and memory space when they capture spatial-temporal…

Machine Learning · Computer Science 2021-03-11 Xuran Xu , Tong Zhang , Chunyan Xu , Zhen Cui , Jian Yang

This paper introduces a data-driven graphical framework for the real-time search of risky cascading fault chains (FCs) in power-grids, crucial for enhancing grid resiliency in the face of climate change. As extreme weather events driven by…

Machine Learning · Computer Science 2025-03-14 Anmol Dwivedi , Ali Tajer