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Graph matching, also known as network alignment, refers to finding a bijection between the vertex sets of two given graphs so as to maximally align their edges. This fundamental computational problem arises frequently in multiple fields…

Data Structures and Algorithms · Computer Science 2021-08-10 Cheng Mao , Mark Rudelson , Konstantin Tikhomirov

In this paper, we introduce PASGAL (Parallel And Scalable Graph Algorithm Library), a parallel graph library that scales to a variety of graph types, many processors, and large graph sizes. One special focus of PASGAL is the efficiency on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-29 Xiaojun Dong , Yan Gu , Yihan Sun , Letong Wang

Network alignment consists of finding a structure-preserving correspondence between the nodes of two correlated, but not necessarily identical, networks. This problem finds applications in a wide variety of fields, from the alignment of…

Social and Information Networks · Computer Science 2019-05-23 Mikhail Hayhoe , Francisco Barreras , Hamed Hassani , Victor M. Preciado

The study of the topological structure of complex networks has fascinated researchers for several decades, and today we have a fairly good understanding of the types and reoccurring characteristics of many different complex networks.…

Social and Information Networks · Computer Science 2014-06-23 Matthieu Roy , Stefan Schmid , Gilles Trédan

Work on knowledge graphs and graph-based data management often focus either on declarative graph query languages or on frameworks for graph analytics, where there has been little work in trying to combine both approaches. However, many…

Databases · Computer Science 2020-04-07 Aidan Hogan , Juan Reutter , Adrian Soto

Comparing graphs to identify similarities is a fundamental task in visual analytics of graph data. To support this, visual analytics systems frequently employ quantitative computational measures to provide automated guidance. However, it…

Human-Computer Interaction · Computer Science 2026-02-27 Seokweon Jung , Jeongmin Rhee , Seoyoung Doh , Hyeon Jeon , Ghulam Jilani Quadri , Jinwook Seo

Graph disaggregation is a technique used to address the high cost of computation for power law graphs on parallel processors. The few high-degree vertices are broken into multiple small-degree vertices, in order to allow for more efficient…

Numerical Analysis · Mathematics 2016-05-04 Xiaozhe Hu , John C. Urschel , Ludmil T. Zikatanov

Finding all maximal $k$-plexes on networks is a fundamental research problem in graph analysis due to many important applications, such as community detection, biological graph analysis, and so on. A $k$-plex is a subgraph in which every…

Data Structures and Algorithms · Computer Science 2022-05-03 Qiangqiang Dai , Rong-Hua Li , Hongchao Qin , Meihao Liao , Guoren Wang

Graph streams are rapidly evolving sequences of edges that convey continuously changing relationships among entities, playing a crucial role in domains such as networking, finance, and cybersecurity. Their massive scale and high dynamism…

Databases · Computer Science 2026-02-18 Boyan Wang , Zhuochen Fan , Dayu Wang , Fangcheng Fu , Zeyu Luan , Lei Zou , Qing Li , Tong Yang

The specific characteristics of graph workloads make it hard to design a one-size-fits-all graph storage system. Systems that support transactional updates use data structures with poor data locality, which limits the efficiency of…

Databases · Computer Science 2020-09-01 Xiaowei Zhu , Guanyu Feng , Marco Serafini , Xiaosong Ma , Jiping Yu , Lei Xie , Ashraf Aboulnaga , Wenguang Chen

The edit distance between two graphs is a widely used measure of similarity that evaluates the smallest number of vertex and edge deletions/insertions required to transform one graph to another. It is NP-hard to compute in general, and a…

Data Structures and Algorithms · Computer Science 2019-04-22 Utkan Onur Candogan , Venkat Chandrasekaran

Graph analysis is a critical component of applications such as online social networks, protein interactions in biological networks, and Internet traffic analysis. The arrival of massive graphs with hundreds of millions of nodes, e.g. social…

Social and Information Networks · Computer Science 2015-03-19 Xiaohan Zhao , Alessandra Sala , Haitao Zheng , Ben Y. Zhao

Given a graph G and the desired size k in bits, how can we summarize G within k bits, while minimizing the information loss? Large-scale graphs have become omnipresent, posing considerable computational challenges. Analyzing such large…

Databases · Computer Science 2021-02-23 Kyuhan Lee , Hyeonsoo Jo , Jihoon Ko , Sungsu Lim , Kijung Shin

Counting the frequency of small subgraphs is a fundamental technique in network analysis across various domains, most notably in bioinformatics and social networks. The special case of triangle counting has received much attention. Getting…

Data Structures and Algorithms · Computer Science 2014-11-19 Madhav Jha , C. Seshadhri , Ali Pinar

The graph edit distance is used for comparing graphs in various domains. Due to its high computational complexity it is primarily approximated. Widely-used heuristics search for an optimal assignment of vertices based on the distance…

Data Structures and Algorithms · Computer Science 2023-12-08 Franka Bause , Christian Permann , Nils M. Kriege

Graphs are central to modeling complex systems in domains such as social networks, molecular chemistry, and neuroscience. While Graph Neural Networks, particularly Graph Convolutional Networks, have become standard tools for graph learning,…

Machine Learning · Computer Science 2025-11-03 Angelica Liguori , Ettore Ritacco , Pietro Sabatino , Annalisa Socievole

Spectral graph convolutional networks are generalizations of standard convolutional networks for graph-structured data using the Laplacian operator. A common misconception is the instability of spectral filters, i.e. the impossibility to…

Machine Learning · Computer Science 2020-12-21 Axel Nilsson , Xavier Bresson

Traditional graph-based semi-supervised learning (SSL) approaches, even though widely applied, are not suited for massive data and large label scenarios since they scale linearly with the number of edges $|E|$ and distinct labels $m$. To…

Machine Learning · Computer Science 2016-05-17 Sujith Ravi , Qiming Diao

We introduce GSimCNN (Graph Similarity Computation via Convolutional Neural Networks) for predicting the similarity score between two graphs. As the core operation of graph similarity search, pairwise graph similarity computation is a…

Machine Learning · Computer Science 2018-11-15 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

Graph theory has drawn a lot of attention in the field of Neuroscience during the last decade, mainly due to the abundance of tools that it provides to explore the interactions of elements in a complex network like the brain. The local and…

Neurons and Cognition · Quantitative Biology 2016-11-16 Sofia Ira Ktena , Sarah Parisot , Jonathan Passerat-Palmbach , Daniel Rueckert