English

Topological graph clustering with thin position

Geometric Topology 2012-06-06 v1 Machine Learning Machine Learning

Abstract

A clustering algorithm partitions a set of data points into smaller sets (clusters) such that each subset is more tightly packed than the whole. Many approaches to clustering translate the vector data into a graph with edges reflecting a distance or similarity metric on the points, then look for highly connected subgraphs. We introduce such an algorithm based on ideas borrowed from the topological notion of thin position for knots and 3-dimensional manifolds.

Keywords

Cite

@article{arxiv.1206.0771,
  title  = {Topological graph clustering with thin position},
  author = {Jesse Johnson},
  journal= {arXiv preprint arXiv:1206.0771},
  year   = {2012}
}

Comments

12 pages, 2 figures

R2 v1 2026-06-21T21:14:10.733Z