## Transfer distance between partitions.(English)Zbl 1284.05319

Summary: The comparison of partitions is a central topic in clustering, as well as when comparing partitioning algorithms or when classifying nominal variables. In this paper, we deal with the transfer distance between partitions, defined as the minimum number of transfers of one element from its class to another (possibly empty) necessary to turn one partition into the other one. After reviewing some theoretical results about this distance, we analyse its behaviour by an experimental study in order to make its interpretation easier.

### MSC:

 05C90 Applications of graph theory 05C12 Distance in graphs 05C35 Extremal problems in graph theory 05D99 Extremal combinatorics 62G15 Nonparametric tolerance and confidence regions 62G30 Order statistics; empirical distribution functions 62H30 Classification and discrimination; cluster analysis (statistical aspects)

### Keywords:

partition; distance; clustering; transfer graph; centrality
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### References:

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