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arXiv · 2409.01834

Nonlinear PageRank Problem for Local Graph Partitioning

Costy Kodsi·Dimosthenis Pasadakis
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Abstract

A nonlinear generalisation of the PageRank problem involving the Moore-Penrose inverse of an incidence matrix is developed for local graph partitioning purposes. The Levenberg-Marquardt method with a full rank Jacobian variant provides a strategy for obtaining a numerical solution to the generalised problem. Sets of vertices are formed according to the ranking supplied by the solution, and a conductance criterion decides upon the set that best represents the cluster around a starting vertex. Experiments on both synthetic and real-world inspired graphs demonstrate the capability of the approach to not only produce low conductance sets, but to also recover local clusters with an accuracy that consistently surpasses state-of-the-art algorithms.

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Costy Kodsi, Dimosthenis Pasadakis. 2024-09-03. Nonlinear PageRank Problem for Local Graph Partitioning. https://arxiv.org/abs/2409.01834

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