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Graphs can be used to represent a wide variety of data belonging to different domains. Graphs can capture the relationship among data in an efficient way, and have been widely used. In recent times, with the advent of Big Data, there has…

Data Structures and Algorithms · Computer Science 2018-06-06 Rushabh Jitendrakumar Shah

Real-world graphs are massive in size and we need a huge amount of space to store them. Graph compression allows us to compress a graph so that we need a lesser number of bits per link to store it. Of many techniques to compress a graph, a…

Social and Information Networks · Computer Science 2021-05-13 Muhammad Irfan Yousuf , Izza Anwer , Muhammad Abid

Hypergraphs provide a natural representation for many-to-many relationships in data-intensive applications, yet their scalability is often hindered by high memory consumption. While prior work has improved computational efficiency, reducing…

Data Structures and Algorithms · Computer Science 2025-06-23 Tianyu Zhao , Dongfang Zhao , Luanzheng Guo , Nathan Tallent

Graph compression is a data analysis technique that consists in the replacement of parts of a graph by more general structural patterns in order to reduce its description length. It notably provides interesting exploration tools for the…

Data Structures and Algorithms · Computer Science 2018-07-19 Robin Lamarche-Perrin

Today's graphs used in domains such as machine learning or social network analysis may contain hundreds of billions of edges. Yet, they are not necessarily stored efficiently, and standard graph representations such as adjacency lists waste…

Data Structures and Algorithms · Computer Science 2020-11-02 Maciej Besta , Dimitri Stanojevic , Tijana Zivic , Jagpreet Singh , Maurice Hoerold , Torsten Hoefler

Various graphs such as web or social networks may contain up to trillions of edges. Compressing such datasets can accelerate graph processing by reducing the amount of I/O accesses and the pressure on the memory subsystem. Yet, selecting a…

Data Structures and Algorithms · Computer Science 2019-04-30 Maciej Besta , Torsten Hoefler

Many multivariate data such as social and biological data exhibit complex dependencies that are best characterized by graphs. Unlike sequential data, graphs are, in general, unordered structures. This means we can no longer use classic,…

Information Theory · Computer Science 2021-10-05 Mojtaba Abolfazli , Anders Host-Madsen , June Zhang , Andras Bratincsak

Data compression has become a necessity not only the in the field of communication but also in various scientific experiments. The data that is being received is more and the processing time required has also become more. A significant…

Information Theory · Computer Science 2016-07-29 Gautam R , S Murali

Graph is an important data representation which appears in a wide diversity of real-world scenarios. Effective graph analytics provides users a deeper understanding of what is behind the data, and thus can benefit a lot of useful…

Artificial Intelligence · Computer Science 2018-02-05 Hongyun Cai , Vincent W. Zheng , Kevin Chen-Chuan Chang

Huffman compression is a statistical, lossless, data compression algorithm that compresses data by assigning variable length codes to symbols, with the more frequently appearing symbols given shorter codes than the less. This work is a…

Information Theory · Computer Science 2011-07-11 R. L. Cloud , M. L. Curry , H. L. Ward , A. Skjellum , P. Bangalore

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

In this paper, we propose a new graph-based transform and illustrate its potential application to signal compression. Our approach relies on the careful design of a graph that optimizes the overall rate-distortion performance through an…

Information Theory · Computer Science 2019-07-31 Giulia Fracastoro , Dorina Thanou , Pascal Frossard

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

Analysing Web graphs has applications in determining page ranks, fighting Web spam, detecting communities and mirror sites, and more. This study is however hampered by the necessity of storing a major part of huge graphs in the external…

Data Structures and Algorithms · Computer Science 2011-09-07 Szymon Grabowski , Wojciech Bieniecki

Graph neural networks (GNNs) are deep learning models designed specifically for graph data, and they typically rely on node features as the input to the first layer. When applying such a type of network on the graph without node features,…

Analytics on large-scale graphs have posed significant challenges to computational efficiency and resource requirements. Recently, Graph condensation (GC) has emerged as a solution to address challenges arising from the escalating volume of…

Machine Learning · Computer Science 2024-02-06 Hongjia Xu , Liangliang Zhang , Yao Ma , Sheng Zhou , Zhuonan Zheng , Bu Jiajun

We present an informal survey (meant to accompany another paper) on graph compression methods. We focus on lossless methods, briefly list available pproaches, and compare them where possible or give some indicators on their compression…

Data Structures and Algorithms · Computer Science 2015-04-03 Sebastian Maneth , Fabian Peternek

In order to manage massive graphs in practice, it is often necessary to resort to graph compression, which aims at reducing the memory used when storing and processing the graph. Efficient compression methods have been proposed in the…

Social and Information Networks · Computer Science 2023-01-12 Maximilien Danisch , Ioannis Panagiotas , Lionel Tabourier

We are living in a world which is getting more and more interconnected and, as physiological effect, the interaction between the entities produces more and more information. This high throughput generation calls for techniques able to…

Data Structures and Algorithms · Computer Science 2018-12-17 Francesco Pelosin

This paper proposes a compression framework for adjacency matrices of weighted graphs based on graph filter banks. Adjacency matrices are widely used mathematical representations of graphs and are used in various applications in signal…

Signal Processing · Electrical Eng. & Systems 2024-02-06 Kenta Yanagiya , Junya Hara , Hiroshi Higashi , Yuichi Tanaka , Antonio Ortega
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