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On the Interplay between Strong Regularity and Graph Densification

Abstract · Mar 21, 2017 09:37 ·

cs-ds cs-cv

Arxiv Abstract

  • Marco Fiorucci
  • Alessandro Torcinovich
  • Manuel Curado
  • Francisco Escolano
  • Marcello Pelillo

In this paper we analyze the practical implications of Szemer\‘edi’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.

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