English

Properties and Performance of the ABCDe Random Graph Model with Community Structure

Social and Information Networks 2022-09-19 v2 Machine Learning Combinatorics

Abstract

In this paper, we investigate properties and performance of synthetic random graph models with a built-in community structure. Such models are important for evaluating and tuning community detection algorithms that are unsupervised by nature. We propose ABCDe, a multi-threaded implementation of the ABCD (Artificial Benchmark for Community Detection) graph generator. We discuss the implementation details of the algorithm and compare it with both the previously available sequential version of the ABCD model and with the parallel implementation of the standard and extensively used LFR (Lancichinetti--Fortunato--Radicchi) generator. We show that ABCDe is more than ten times faster and scales better than the parallel implementation of LFR provided in NetworKit. Moreover, the algorithm is not only faster but random graphs generated by ABCD have similar properties to the ones generated by the original LFR algorithm, while the parallelized NetworKit implementation of LFR produces graphs that have noticeably different characteristics.

Keywords

Cite

@article{arxiv.2203.14899,
  title  = {Properties and Performance of the ABCDe Random Graph Model with Community Structure},
  author = {Bogumił Kamiński and Tomasz Olczak and Bartosz Pankratz and Paweł Prałat and François Théberge},
  journal= {arXiv preprint arXiv:2203.14899},
  year   = {2022}
}

Comments

15 pages, 10 figures, 1 table

R2 v1 2026-06-24T10:28:40.952Z