DSMar 21, 2017
On the Interplay between Strong Regularity and Graph DensificationMarco Fiorucci, Alessandro Torcinovich, Manuel Curado et al.
In this paper we analyze the practical implications of Szemerédi's regularity lemma in the preservation of metric information contained in large graphs. To this end, we present a heuristic algorithm to find regular partitions. Our experiments show that this method is quite robust to the natural sparsification of proximity graphs. In addition, this robustness can be enforced by graph densification.