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Optimal clustering in graphs with weighted edges: A unified approach to the threshold problem

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  • Roy Goetschel
  • William Voxman

Abstract

Relations on a finite set V are viewed as weighted graphs. Using the language of graph theory two methods of partitioning V are examined. In one method, partitionings of V are obtained by selecting threshold values and applying them to a maximal weighted spanning forest. In another method a parametric linear program is used to obtain a “most adhesive” partition. © 1987 John Wiley & Sons, Inc.

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  • Roy Goetschel & William Voxman, 1987. "Optimal clustering in graphs with weighted edges: A unified approach to the threshold problem," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 38(1), pages 13-20, January.
    • Handle: RePEc:bla:jamest:v:38:y:1987:i:1:p:13-20
    DOI: 10.1002/(SICI)1097-4571(198701)38:13.0.CO;2-A
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