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We consider the maintenance of maximal bicliques from a dynamic bipartite graph that changes over time due to the addition or deletion of edges. When the set of edges in a graph changes, we are interested in knowing the change in the set of…

Data Structures and Algorithms · Computer Science 2017-07-27 Apurba Das , Srikanta Tirthapura

With the growing amount of available temporal real-world network data, an important question is how to efficiently study these data. One can simply model a temporal network as either a single aggregate static network, or as a series of…

Social and Information Networks · Computer Science 2014-12-15 Yuriy Hulovatyy , Huili Chen , Tijana Milenkovic

Graph Neural Networks (GNNs) have been widely used for modeling graph-structured data. With the development of numerous GNN variants, recent years have witnessed groundbreaking results in improving the scalability of GNNs to work on static…

Machine Learning · Computer Science 2022-06-06 Yanping Zheng , Hanzhi Wang , Zhewei Wei , Jiajun Liu , Sibo Wang

Real-world graphs, such as social networks, financial transactions, and recommendation systems, often demonstrate dynamic behavior. This phenomenon, known as graph stream, involves the dynamic changes of nodes and the emergence and…

Machine Learning · Computer Science 2023-05-16 Yanping Zheng , Zhewei Wei , Jiajun Liu

Finding $k$-cores in graphs is a valuable and effective strategy for extracting dense regions of otherwise sparse graphs. We focus on the important problem of maintaining cores on rapidly changing dynamic graphs, where batches of edge…

Data Structures and Algorithms · Computer Science 2022-03-25 Kasimir Gabert , Ali Pınar , Ümit V. Çatalyürek

Graph algorithms enormously contribute to the domains such as blockchains, social networks, biological networks, telecommunication networks, and several others. The ever-increasing demand of data-volume, as well as speed of such…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-04 Bapi Chatterjee , Sathya Peri , Muktikanta Sa

Graphs are widely used in various fields of computer science. They have also found application in unrelated areas, leading to a diverse range of problems. These problems can be modeled as relationships between entities in various contexts,…

Data Structures and Algorithms · Computer Science 2024-05-20 Davide Rucci

Graph pattern matching algorithms to handle million-scale dynamic graphs are widely used in many applications such as social network analytics and suspicious transaction detections from financial networks. On the other hand, the computation…

Databases · Computer Science 2019-07-10 Hiroki Kanezashi , Toyotaro Suzumura , Dario Garcia-Gasulla , Min-hwan Oh , Satoshi Matsuoka

Inferring the underlying graph topology that characterizes structured data is pivotal to many graph-based models when pre-defined graphs are not available. This paper focuses on learning graphs in the case of sequential data in dynamic…

Machine Learning · Computer Science 2022-02-25 Xiang Zhang

A network provides powerful means of representing complex relationships between entities by abstracting entities as vertices, and relationships as edges connecting vertices in a graph. Beyond the presence or absence of relationships, a…

Social and Information Networks · Computer Science 2020-01-15 Isuru Udayangani Hewapathirana

Complex systems which can be represented in the form of static and dynamic graphs arise in different fields, e.g. communication, engineering and industry. One of the interesting problems in analysing dynamic network structures is to monitor…

Machine Learning · Computer Science 2020-11-13 Anna Malinovskaya , Philipp Otto , Torben Peters

Embedding large graphs in low dimensional spaces has recently attracted significant interest due to its wide applications such as graph visualization, link prediction and node classification. Existing methods focus on computing the…

Social and Information Networks · Computer Science 2018-05-30 Palash Goyal , Nitin Kamra , Xinran He , Yan Liu

Graphs are arguably one of the most fundamental data-structure used in many domains such as block-chain, networks etc. Theoretically and practically, improving Graph performance is one of the most studied and omnipresent research problems.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-05 Gaurav Bhardwaj , Sathya Peri , Pratik Shetty

Most of real-world graphs are dynamic, i.e., they change over time by a sequence of update operations. While the regression problem has been studied for static graphs and temporal graphs, it is not investigated for general dynamic graphs.…

Machine Learning · Computer Science 2022-10-10 Mostafa Haghir Chehreghani

Graph embedding, aiming to learn low-dimensional representations (aka. embeddings) of nodes, has received significant attention recently. Recent years have witnessed a surge of efforts made on static graphs, among which Graph Convolutional…

Machine Learning · Computer Science 2021-04-08 Zeyu Cui , Zekun Li , Shu Wu , Xiaoyu Zhang , Qiang Liu , Liang Wang , Mengmeng Ai

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

Node counting on a graph is subject to some fundamental theoretical limitations, yet a solution to such problems is necessary in many applications of graph theory to real-world systems, such as collective robotics and distributed sensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Arindam Saha , James A. R. Marshall , Andreagiovanni Reina

Exploratory analysis over network data is often limited by the ability to efficiently calculate graph statistics, which can provide a model-free understanding of the macroscopic properties of a network. We introduce a framework for…

Methodology · Statistics 2020-04-17 Kirill Paramonov , Dmitry Shemetov , James Sharpnack

Subgraph listing is a fundamental problem in graph theory and has wide applications in areas like sociology, chemistry, and social networks. Modern graphs can usually be large-scale as well as highly dynamic, which challenges the efficiency…

Databases · Computer Science 2020-09-01 Xun Jian , Yue Wang , Xiayu Lei , Yanyan Shen , Lei Chen

Pattern counting in graphs is fundamental to network science tasks, and there are many scalable methods for approximating counts of small patterns, often called motifs, in large graphs. However, modern graph datasets now contain richer…

Social and Information Networks · Computer Science 2018-10-03 Paul Liu , Austin Benson , Moses Charikar