English

Fast Geometric Embedding for Node Influence Maximization

Social and Information Networks 2026-04-29 v3 Artificial Intelligence Machine Learning

Abstract

Computing classical centrality measures such as betweenness and closeness is computationally expensive on large-scale graphs. In this work, we introduce an efficient force layout algorithm that embeds a graph into a low-dimensional space, where the radial distance from the origin serves as a proxy for various centrality measures. We evaluate our method on multiple graph families and demonstrate strong correlations with degree, PageRank, and paths-based centralities. As an application, it turns out that the proposed embedding allows one to find high-influence nodes in a network, and provides a fast and scalable alternative to the standard greedy algorithm.

Keywords

Cite

@article{arxiv.2506.07435,
  title  = {Fast Geometric Embedding for Node Influence Maximization},
  author = {Alexander Kolpakov and Igor Rivin},
  journal= {arXiv preprint arXiv:2506.07435},
  year   = {2026}
}

Comments

19 pages, 4 figures, 18 tables; Github repository available (https://github.com/sashakolpakov/graphem/); Package available on PyPi (https://pypi.org/project/graphem-jax/)