@lee_peck

On clusterings-good, bad and spectral

, , and . FOCS '00: Proceedings of the 41st Annual Symposium on Foundations of Computer Science, page 367. Washington, DC, USA, IEEE Computer Society, (2000)

Abstract

We propose a new measure for assessing the quality of a clustering. A simple heuristic is shown to give worst-case guarantees under the new measure. Then we present two results regarding the quality of the clustering found by a popular spectral algorithm. One proffers worst case guarantees whilst the other shows that if there exists a "good" clustering then the spectral algorithm will find one close to it.

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On clusterings-good, bad and spectral

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