Topological graph clustering with thin position

Jesse Johnson

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arXiv · 1206.0771

Topological graph clustering with thin position

Jesse Johnson

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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.

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Jesse Johnson. 2012-06-04. Topological graph clustering with thin position. https://arxiv.org/abs/1206.0771

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