Quantifying Community Evolution in Developer Social Networks: Proof of Indices' Properties
Liang Wang, Ying Li, Jierui Zhang, Xianping Tao

TL;DR
This paper provides mathematical proofs for properties of community evolution indices, such as split and shrink, in developer social networks, enhancing understanding of community dynamics.
Contribution
It offers formal proofs for properties of community evolution indices, specifically split and shrink, in developer social networks, which was previously unverified.
Findings
Proof of community split index properties
Proof of community shrink index properties
Enhanced understanding of community dynamics
Abstract
The document provides the proof to properties of community evolution indices including community split and shrink in paper: Liang Wang, Ying Li, Jierui Zhang, and Xianping Tao. 2022. Quantifying Community Evolution in Developer Social Networks. In Proceedings of the30th ACM Joint European Software Engineering Conference and Symposiumon the Foundations of Software Engineering (ESEC/FSE 22), November 14 - 18, 2022, Singapore, Singapore. ACM, New York, NY, USA, 12 pages. Proof to properties of community merge and expand is similar.
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Taxonomy
TopicsComplex Network Analysis Techniques · Software System Performance and Reliability
