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Finding dense subgraphs of a large network is a fundamental problem in graph mining that has been studied extensively both for its theoretical richness and its many practical applications over the last five decades. However, most existing…

Social and Information Networks · Computer Science 2023-10-10 Ali Behrouz , Farnoosh Hashemi

We present MANTRA, a framework for approximating the temporal betweenness centrality of all nodes in a temporal graph. Our method can compute probabilistically guaranteed high-quality temporal betweenness estimates (of nodes and temporal…

Data Structures and Algorithms · Computer Science 2024-04-09 Antonio Cruciani

Graphs naturally appear in several real-world contexts including social networks, the web network, and telecommunication networks. While the analysis and the understanding of graph structures have been a central area of study in algorithm…

Data Structures and Algorithms · Computer Science 2019-09-17 Gramoz Goranci

We present the first linear time complexity randomized algorithms for unbiased approximation of the celebrated family of general random walk kernels (RWKs) for sparse graphs. This includes both labelled and unlabelled instances. The…

Machine Learning · Computer Science 2024-10-16 Krzysztof Choromanski , Isaac Reid , Arijit Sehanobish , Avinava Dubey

Community search over large graphs is a fundamental problem in graph analysis. Recent studies propose to compute top-k influential communities, where each reported community not only is a cohesive subgraph but also has a high influence…

Databases · Computer Science 2017-12-15 Fei Bi , Lijun Chang , Xuemin Lin , Wenjie Zhang

Several classical combinatorial problems have been considered and analysed on temporal graphs. Recently, a variant of Vertex Cover on temporal graphs, called MinTimelineCover, has been introduced to summarize timeline activities in social…

Data Structures and Algorithms · Computer Science 2023-07-04 Riccardo Dondi , Manuel Lafond

The last decades have not only been characterized by an explosive growth of data, but also an increasing appreciation of data as a valuable resource. Their value comes with the ability to extract meaningful patterns that are of economic,…

Machine Learning · Statistics 2020-02-27 Jonas I. Liechti , Sebastian Bonhoeffer

Within many real-world networks the links between pairs of nodes change over time. Thus, there has been a recent boom in studying temporal graphs. Recognizing patterns in temporal graphs requires a proximity measure to compare different…

Machine Learning · Computer Science 2020-07-07 Vincent Froese , Brijnesh Jain , Rolf Niedermeier , Malte Renken

Understanding the training dynamics of deep neural networks (DNNs) is important as it can lead to improved training efficiency and task performance. Recent works have demonstrated that representing the wirings of static graph cannot capture…

Machine Learning · Computer Science 2023-02-22 Fatemeh Vahedian , Ruiyu Li , Puja Trivedi , Di Jin , Danai Koutra

Logistics and transportation networks require a large amount of resources to realize necessary connections between locations and minimizing these resources is a vital aspect of planning research. Since such networks have dynamic connections…

Social and Information Networks · Computer Science 2024-09-02 Argyrios Deligkas , Michelle Döring , Eduard Eiben , Tiger-Lily Goldsmith , George Skretas , Georg Tennigkeit

Characterization of joint probability distribution for large networks of random variables remains a challenging task in data science. Probabilistic graph approximation with simple topologies has practically been resorted to; typically the…

Data Structures and Algorithms · Computer Science 2024-04-10 Fereshteh R. Dastjerdi , Liming Cai

Contagions (e.g. virus, gossip) spread over the nodes in propagation graphs. We can use the temporal and textual data of the nodes to compute the edge weights and then generate subgraphs with highly relevant nodes. This is beneficial to…

Information Retrieval · Computer Science 2019-08-27 Saeid Hosseini , Saeed Najafipour , Ngai-Man Cheung , Hongzhi Yin , Mohammad Reza Kangavari , Xiaofang Zhou

We study the densest subgraph problem and its NP-hard densest at-most-$k$ subgraph variant through the lens of learning-augmented algorithms. We show that, given a reasonably accurate predictor that estimates whether a node belongs to the…

Data Structures and Algorithms · Computer Science 2026-04-16 Thai Bui , Luan Nguyen , Hoa T. Vu

The maximum clique problem is a well known NP-Hard problem with applications in data mining, network analysis, informatics, and many other areas. Although there exist several algorithms with acceptable runtimes for certain classes of…

Data Structures and Algorithms · Computer Science 2012-11-15 Bharath Pattabiraman , Md. Mostofa Ali Patwary , Assefaw H. Gebremedhin , Wei-keng Liao , Alok Choudhary

We introduce the idea of temporal graphs, a representation that encodes temporal data into graphs while fully retaining the temporal information of the original data. This representation lets us explore the dynamic temporal properties of…

Physics and Society · Physics 2013-06-06 Vassilis Kostakos

Connectivity related concepts are of fundamental interest in graph theory. The area has received extensive attention over four decades, but many problems remain unsolved, especially for directed graphs. A directed graph is 2-edge-connected…

Data Structures and Algorithms · Computer Science 2017-05-31 Shiri Chechik , Thomas Dueholm Hansen , Giuseppe F. Italiano , Veronika Loitzenbauer , Nikos Parotsidis

We present a novel graph embedding space (i.e., a set of measures on graphs) for performing statistical analyses of networks. Key improvements over existing approaches include discovery of "motif-hubs" (multiple overlapping significant…

Disordered Systems and Neural Networks · Physics 2007-05-23 Etay Ziv , Robin Koytcheff , Manuel Middendorf , Chris Wiggins

Deep graph clustering has recently received significant attention due to its ability to enhance the representation learning capabilities of models in unsupervised scenarios. Nevertheless, deep clustering for temporal graphs, which could…

Machine Learning · Computer Science 2024-04-12 Meng Liu , Yue Liu , Ke Liang , Wenxuan Tu , Siwei Wang , Sihang Zhou , Xinwang Liu

Transaction graphs, which represent financial and trade transactions between entities such as bank accounts and companies, can reveal patterns indicative of financial crimes like money laundering and fraud. However, effective detection of…

Machine Learning · Computer Science 2025-03-24 Steve Gounoue , Ashutosh Sao , Simon Gottschalk

Dynamic trees are a well-studied and fundamental building block of dynamic graph algorithms dating back to the seminal work of Sleator and Tarjan [STOC'81, (1981), pp. 114-122]. The problem is to maintain a tree subject to online edge…

Data Structures and Algorithms · Computer Science 2023-06-16 Daniel Anderson , Guy E. Blelloch