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Open Access

Software System Evolution Analysis Method Based on Algebraic Topology

Chun Shan, Liyuan Liu, Jingfeng Xue( ), Changzhen Hu, Hongjin Zhu
School of Software, Beijing Institute of Technology, Beijing 100081, China.
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Abstract

The analysis of software system evolution is highly significant in software research as the evolution runs throughout the lifecycle of a software system. Considering a software system as an algebraic engineering system, we propose a software system evolution analysis method based on algebraic topology. First, from a complex network perspective, we abstract a software system into the software structural topology diagram. Then, based on the algebraic topology principle, we abstract each node in the software structural topology diagram into an algebraic component represented by a 6-tuple. We propose three kinds of operation relationships between two algebraic components, so that the software system can be abstracted into an algebraic expression of components. In addition, we propose three forms of software system evolution, which help to analyze the structure and evolution of system software and facilitate its maintenance and reconfiguration.

Keywords

software structural topology diagramalgebraic componenttopological complexevolution

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Tsinghua Science and Technology
Volume 23 Issue 5,
October 2018
Pages 599-609
DOI: 10.26599/TST.2018.9010027
Cite this article:
Shan C, Liu L, Xue J, et al. Software System Evolution Analysis Method Based on Algebraic Topology. Tsinghua Science and Technology, 2018, 23(5): 599-609. https://doi.org/10.26599/TST.2018.9010027

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Received: 03 November 2017
Accepted: 14 November 2017
Published: 17 September 2018
© The author(s) 2018
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