Influence Maximization in Hypergraphs Using Multi-Objective Evolutionary Algorithms

The Influence Maximization (IM) problem is a well-known NP-hard combinatorial problem over graphs whose goal is to find the seed set of nodes in a network that spreads influence at most. Among the various methods for solving the IM problem, evolutionary algorithms (EAs) have been shown to be particularly effective. While the literature on the topic is particularly ample, only a few attempts have been made at solving the IM problem over higher-order networks, namely extensions of standard graphs that can capture interactions that involve more than two nodes. Hypergraphs are a valuable tool for modeling complex interaction networks in various domains; however, they require rethinking of several graph-based problems, including IM. In this work, we propose a multi-objective EA for the IM problem over hypergraphs, aiming at minimizing the seed set size while maximizing influence. Smart initialization and hypergraph-aware mutation operators are utilized to facilitate algorithm convergence. While the existing methods rely on greedy or heuristic methods, to our best knowledge this is the first attempt at applying EAs to this problem. Our results over nine real-world datasets and three propagation models, compared with five baseline algorithms, reveal that our method achieves in most cases state-of-the-art results in terms of hypervolume and solution diversity.