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arXiv · 1706.03065

Towards balanced clustering - part 1 (preliminaries)

Mark Sh. Levin
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Abstract

The article contains a preliminary glance at balanced clustering problems. Basic balanced structures and combinatorial balanced problems are briefly described. A special attention is targeted to various balance/unbalance indices (including some new versions of the indices): by cluster cardinality, by cluster weights, by inter-cluster edge/arc weights, by cluster element structure (for element multi-type clustering). Further, versions of optimization clustering problems are suggested (including multicriteria problem formulations). Illustrative numerical examples describe calculation of balance indices and element multi-type balance clustering problems (including example for design of student teams).

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Mark Sh. Levin. 2017-06-09. Towards balanced clustering - part 1 (preliminaries). https://arxiv.org/abs/1706.03065

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