[Feature Request] Implement Leiden community detection

[jolespin]

I recently stumbled across the paper: https://www.nature.com/articles/s41598-019-41695-z

From Louvain to Leiden: guaranteeing well-connected communities
V. A. Traag, L. Waltman & N. J. van Eck
Scientific Reports volume 9, Article number: 5233 (2019) Cite this article
Published: 26 March 2019

Abstract
Community detection is often used to understand the structure of large and complex networks. One of the most popular algorithms for uncovering community structure is the so-called Louvain algorithm. We show that this algorithm has a major defect that largely went unnoticed until now: the Louvain algorithm may yield arbitrarily badly connected communities. In the worst case, communities may even be disconnected, especially when running the algorithm iteratively. In our experimental analysis, we observe that up to 25% of the communities are badly connected and up to 16% are disconnected. To address this problem, we introduce the Leiden algorithm. We prove that the Leiden algorithm yields communities that are guaranteed to be connected. In addition, we prove that, when the Leiden algorithm is applied iteratively, it converges to a partition in which all subsets of all communities are locally optimally assigned. Furthermore, by relying on a fast local move approach, the Leiden algorithm runs faster than the Louvain algorithm. We demonstrate the performance of the Leiden algorithm for several benchmark and real-world networks. We find that the Leiden algorithm is faster than the Louvain algorithm and uncovers better partitions, in addition to providing explicit guarantees.

Would it be possible to implement Leiden algorithm in future releases?

[taynaud]

Hello,

I do not plan to add other algorithms for community detection in this package for the moment. It's goal is more to be a good readable implementation of the Louvain algorithm rather than a community detection library