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Real-world graphs often manifest as a massive temporal stream of edges. The need for real-time analysis of such large graph streams has led to progress on low memory, one-pass streaming graph algorithms. These algorithms were designed for…

Data Structures and Algorithms · Computer Science 2014-10-16 Madhav Jha , C. Seshadhri , Ali Pinar

With the proliferation of temporal graph data, there is a growing demand for analyzing information propagation patterns during graph evolution. Existing graph analysis systems, mostly based on static snapshots, struggle to effectively…

Databases · Computer Science 2025-12-30 Jiacheng Ding , Cong Guo , Xiaofei Zhang

Self-supervised learning on graphs has recently drawn a lot of attention due to its independence from labels and its robustness in representation. Current studies on this topic mainly use static information such as graph structures but…

Machine Learning · Computer Science 2021-12-17 Linpu Jiang , Ke-Jia Chen , Jingqiang Chen

In this paper, we present an on-line fully dynamic algorithm for maintaining strongly connected component of a directed graph in a shared memory architecture. The edges and vertices are added or deleted concurrently by fixed number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-11 Muktikanta Sa

A hypergraph is a generalization of a graph, in which a hyperedge can connect multiple vertices, modeling complex relationships involving multiple vertices simultaneously. Hypergraph pattern matching, which is to find all isomorphic…

Databases · Computer Science 2025-12-23 Siwoo Song , Wonseok Shin , Kunsoo Park , Giuseppe F. Italiano , Zhengyi Yang , Wenjie Zhang

Bidirected graphs are a common generalisation of directed graphs where arcs can also be incoming to both their incident nodes, or outgoing from both their incident nodes. Such arcs allow a walk to change direction. Some algorithms can…

Data Structures and Algorithms · Computer Science 2026-05-14 Sebastian Schmidt , Juha Harviainen , Corentin Moumard , Aleksandr Politov , Francisco Sena , Alexandru I. Tomescu

This paper presents a comprehensive study of algorithms for maintaining the number of all connected four-vertex subgraphs in a dynamic graph. Specifically, our algorithms maintain the number of paths of length three in deterministic…

Data Structures and Algorithms · Computer Science 2022-03-18 Kathrin Hanauer , Monika Henzinger , Qi Cheng Hua

Social media data are often modeled as heterogeneous graphs with multiple types of nodes and edges. We present a discovery algorithm that first chooses a "background" graph based on a user's analytical interest and then automatically…

Social and Information Networks · Computer Science 2021-02-19 Subhasis Dasgupta , Amarnath Gupta

We give a fully dynamic deterministic algorithm for maintaining a maximal matching of an $n$-vertex graph in $\tilde{O}(n^{8/9})$ amortized update time. This breaks the long-standing $\Omega(n)$-update-time barrier on dense graphs,…

Data Structures and Algorithms · Computer Science 2025-09-01 Aaron Bernstein , Sayan Bhattacharya , Peter Kiss , Thatchaphol Saranurak

This paper proposes a novel model for predicting subgraphs in dynamic graphs, an extension of traditional link prediction. This proposed end-to-end model learns a mapping from the subgraph structures in the current snapshot to the subgraph…

Social and Information Networks · Computer Science 2021-08-18 Yuan Li , Chuanchang Chen , Yubo Tao , Hai Lin

We study algorithmic questions for concurrent systems where the transitions are labeled from a complete, closed semiring, and path properties are algebraic with semiring operations. The algebraic path properties can model dataflow analysis…

Programming Languages · Computer Science 2015-11-27 Krishnendu Chatterjee , Amir Kafshdar Goharshady , Rasmus Ibsen-Jensen , Andreas Pavlogiannis

Temporal Graph Neural Networks (TGNNs) are widely used to model dynamic systems where relationships and features evolve over time. Although TGNNs demonstrate strong predictive capabilities in these domains, their complex architectures pose…

Machine Learning · Computer Science 2025-07-09 Zhan Qu , Daniel Gomm , Michael Färber

Graph matching consists of aligning the vertices of two unlabeled graphs in order to maximize the shared structure across networks; when the graphs are unipartite, this is commonly formulated as minimizing their edge disagreements. In this…

Machine Learning · Statistics 2021-04-13 Jesús Arroyo , Carey E. Priebe , Vince Lyzinski

Maintaining a $k$-core decomposition quickly in a dynamic graph has important applications in network analysis. The main challenge for designing efficient exact algorithms is that a single update to the graph can cause significant global…

Data Structures and Algorithms · Computer Science 2023-09-28 Quanquan C. Liu , Jessica Shi , Shangdi Yu , Laxman Dhulipala , Julian Shun

Graph processing has become an important part of various areas of computing, including machine learning, medical applications, social network analysis, computational sciences, and others. A growing amount of the associated graph processing…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-01 Maciej Besta , Marc Fischer , Vasiliki Kalavri , Michael Kapralov , Torsten Hoefler

A dynamic graph algorithm is a data structure that answers queries about a property of the current graph while supporting graph modifications such as edge insertions and deletions. Prior work has shown strong conditional lower bounds for…

Data Structures and Algorithms · Computer Science 2023-01-30 Monika Henzinger , Ami Paz , A. R. Sricharan

In the constraint programming framework, state-of-the-art static and dynamic decomposition techniques are hard to apply to problems with complete initial constraint graphs. For such problems, we propose a hybrid approach of these techniques…

Computational Complexity · Computer Science 2008-12-18 Stephane Zampelli , Martin Mann , Yves Deville , Rolf Backofen

To detect anomalies in real-world graphs, such as social, email, and financial networks, various approaches have been developed. While they typically assume static input graphs, most real-world graphs grow over time, naturally represented…

Machine Learning · Computer Science 2024-07-26 Jongha Lee , Sunwoo Kim , Kijung Shin

Compression and sparsification algorithms are frequently applied in a preprocessing step before analyzing or optimizing large networks/graphs. In this paper we propose and study a new framework contracting edges of a graph (merging vertices…

Data Structures and Algorithms · Computer Science 2019-02-14 Aaron Bernstein , Karl Däubel , Yann Disser , Max Klimm , Torsten Mütze , Frieder Smolny

Subgraph matching is the problem of determining the presence and location(s) of a given query graph in a large target graph. Despite being an NP-complete problem, the subgraph matching problem is crucial in domains ranging from network…

Machine Learning · Computer Science 2020-10-28 Rex , Ying , Zhaoyu Lou , Jiaxuan You , Chengtao Wen , Arquimedes Canedo , Jure Leskovec
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