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Related papers: Grammar-Based Graph Compression

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In this paper we introduce compressed commuting graph of rings. It can be seen as a compression of the standard commuting graph (with the central elements added) where we identify the vertices that generate the same subring. The compression…

Rings and Algebras · Mathematics 2024-11-12 Ivan-Vanja Boroja , Hamid Reza Dorbidi , Damjana Kokol Bukovšek , Nik Stopar

We introduce in this paper a new summarization method for large graphs. Our summarization approach retains only a user-specified proportion of the neighbors of each node in the graph. Our main aim is to simplify large graphs so that they…

Data Structures and Algorithms · Computer Science 2021-01-28 Abd Errahmane Kiouche , Julien Baste , Mohammed Haddad , Hamida Seba

Neighborhood queries and triple queries are the most common queries on graphs; thus, it is desirable to answer them efficiently on compressed data structures. We present a compression scheme called Incidence-Type-RePair (ITR) for graphs…

Databases · Computer Science 2024-10-11 Enno Adler , Stefan Böttcher , Rita Hartel

Graph Neural Networks (GNNs) have demonstrated promising performance in graph analysis. Nevertheless, the inference process of GNNs remains costly, hindering their applications for large graphs. This paper proposes inference-friendly graph…

Machine Learning · Computer Science 2025-05-13 Yangxin Fan , Haolai Che , Yinghui Wu

In this paper we raise the question of how to compress sparse graphs. By introducing the idea of redundancy, we find a way to measure the overlap of neighbors between nodes in networks. We exploit symmetry and information by making use of…

Statistical Mechanics · Physics 2015-04-01 Jie Sun , Erik M. Bollt , Daniel ben-Avraham

Recovery of signals with elements defined on the nodes of a graph, from compressive measurements is an important problem, which can arise in various domains such as sensor networks, image reconstruction and group testing. In some scenarios,…

Signal Processing · Electrical Eng. & Systems 2024-02-19 Sabyasachi Ghosh , Ajit Rajwade

This study addresses the issue of balancing graph summarization and graph change detection. Graph summarization compresses large-scale graphs into a smaller scale. However, the question remains: To what extent should the original graph be…

Machine Learning · Statistics 2023-12-13 Shintaro Fukushima , Kenji Yamanishi

Pattern matching is the most central task for text indices. Most recent indices leverage compression techniques to make pattern matching feasible for massive but highly-compressible datasets. Within this kind of indices, we propose a new…

Data Structures and Algorithms · Computer Science 2021-05-31 Tooru Akagi , Dominik Köppl , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

While message passing Graph Neural Networks (GNNs) have become increasingly popular architectures for learning with graphs, recent works have revealed important shortcomings in their expressive power. In response, several higher-order GNNs…

Machine Learning · Computer Science 2025-02-28 Behrooz Tahmasebi , Derek Lim , Stefanie Jegelka

Graph is a useful data structure to model various real life aspects like email communications, co-authorship among researchers, interactions among chemical compounds, and so on. Supporting such real life interactions produce a knowledge…

Data Structures and Algorithms · Computer Science 2016-11-11 Kifayat Ullah Khan , Waqas Nawaz , Young-Koo Lee

We describe a grammar for DNA sequencing reads from which we can compute the BWT directly. Our motivation is to perform in succinct space genomic analyses that require complex string queries not yet supported by repetition-based…

Data Structures and Algorithms · Computer Science 2020-11-17 Diego Díaz-Domínguez , Gonzalo Navarro

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

We introduce a compressed data structure for the storage of free trajectories of moving objects (such as ships and planes) that efficiently supports various spatio-temporal queries. Our structure, dubbed GraCT, stores the absolute positions…

Data Structures and Algorithms · Computer Science 2019-11-12 Nieves R. Brisaboa , Adrián Gómez-Brandón , Gonzalo Navarro , José R. Paramá

A massive amount of data generated today on platforms such as social networks, telecommunication networks, and the internet in general can be represented as graph streams. Activity in a network's underlying graph generates a sequence of…

Social and Information Networks · Computer Science 2017-03-28 Charles A. Packer , Lawrence B. Holder

We consider the class of conditional graph patterns (\emph{CGPs}) that allow user to query data graphs with complex patterns that contain negation and predicates. To overcome the prohibitive cost of subgraph isomorphism, we consider…

Databases · Computer Science 2022-07-27 Houari Mahfoud

Re-Pair is an efficient grammar compressor that operates by recursively replacing high-frequency character pairs with new grammar symbols. The most space-efficient linear-time algorithm computing Re-Pair uses $(1+\epsilon)n+\sqrt n$ words…

Data Structures and Algorithms · Computer Science 2017-04-28 Philip Bille , Inge Li Gørtz , Nicola Prezza

Graph signals are functions of the underlying graph. When the edge-weight between a pair of nodes is high, the corresponding signals generally have a higher correlation. As a result, the signals can be represented in terms of a graph-based…

Signal Processing · Electrical Eng. & Systems 2024-09-09 Rishabh Ravi , Kaushani Majumder , Kalp Vyas , Satish Mulleti

The goal of grammar compression is to construct a small sized context free grammar which uniquely generates the input text data. Among grammar compression methods, RePair is known for its good practical compression performance. MR-RePair…

Data Structures and Algorithms · Computer Science 2019-10-31 Isamu Furuya

With the emergence of graph databases, the task of frequent subgraph discovery has been extensively addressed. Although the proposed approaches in the literature have made this task feasible, the number of discovered frequent subgraphs is…

Databases · Computer Science 2013-08-16 Wajdi Dhifli , Mohamed Moussaoui , Rabie Saidi , Engelbert Mephu Nguifo

Representing patterns as labeled graphs is becoming increasingly common in the broad field of computational intelligence. Accordingly, a wide repertoire of pattern recognition tools, such as classifiers and knowledge discovery procedures,…

Computer Vision and Pattern Recognition · Computer Science 2017-05-11 Lorenzo Livi