Many authors, mainly in the context of the Bin Packing Problem with Conflicts, used the random graph generator proposed in "Heuristics and lower bounds for the bin packing problem with conflicts" [M. Gendreau, G. Laporte, and F. Semet, Computers & Operations Research, 31:347-358, 2004]. In this paper we prove that the graphs generated in this way are not arbitrary but threshold ones. Computational results show that instances with threshold conflict graphs are easier to solve w.r.t. instances with arbitrary conflict graphs.
@article{arxiv.1706.03526,
title = {On the benchmark instances for the Bin Packing with Conflicts},
author = {Tiziano Bacci and Sara Nicoloso},
journal= {arXiv preprint arXiv:1706.03526},
year = {2021}
}