Geometric Deep Learning sub-network extraction for Maximum Clique Enumeration.

Carchiolo, Vincenza; Grassia, Marco; Malgeri, Michele; Mangioni, Giuseppe · PLoS One · 2024

other · Level V

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Abstract

The paper presents an algorithm to approach the problem of Maximum Clique Enumeration, a well known NP-hard problem that have several real world applications. The proposed solution, called LGP-MCE, exploits Geometric Deep Learning, a Machine Learning technique on graphs, to filter out nodes that do not belong to maximum cliques and then applies an exact algorithm to the pruned network. To assess the LGP-MCE, we conducted multiple experiments using a substantial dataset of real-world networks, varying in size, density, and other characteristics. We show that LGP-MCE is able to drastically reduce the running time, while retaining all the maximum cliques.

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