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Graph automorphisms for compression

Graph automorphisms for compression AbstractDetecting automorphisms is a natural way to identify redundant information presented in structured data. When such redundancies are detected they can be used for data compression. In this paper we explore two different classes of graphs to capture this intuitive property of automorphisms. Symmetry-compressible graphs are the first class which introduces the basic concepts but use only global symmetries for the compression. In order for this concept to be more practical, we need to use local symmetries. Thus, we extend the basic graph class with Near Symmetry compressible graphs. Furthermore, we develop two algorithms that can be used to compress practical instances and empirically evaluate them on a set of realistic graphs. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Computer Science de Gruyter

Graph automorphisms for compression

Open Computer Science , Volume 11 (1): 9 – Jan 1, 2021

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Publisher
de Gruyter
Copyright
© 2021 Uroš Čibej et al., published by De Gruyter
eISSN
2299-1093
DOI
10.1515/comp-2020-0186
Publisher site
See Article on Publisher Site

Abstract

AbstractDetecting automorphisms is a natural way to identify redundant information presented in structured data. When such redundancies are detected they can be used for data compression. In this paper we explore two different classes of graphs to capture this intuitive property of automorphisms. Symmetry-compressible graphs are the first class which introduces the basic concepts but use only global symmetries for the compression. In order for this concept to be more practical, we need to use local symmetries. Thus, we extend the basic graph class with Near Symmetry compressible graphs. Furthermore, we develop two algorithms that can be used to compress practical instances and empirically evaluate them on a set of realistic graphs.

Journal

Open Computer Sciencede Gruyter

Published: Jan 1, 2021

Keywords: graph automorphisms; graph classes; compression algorithms

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