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Linear Coding of Non-linear Hierarchies: Revitalization of an Ancient Classification Method

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Advances in Data Analysis, Data Handling and Business Intelligence

Abstract

The article treats the problem of forcing entities into a linear order which could be more naturally organized in a non-linear hierarchy (e.g., books in a library, products in a warehouse or store, …). The key idea is to apply a technique for the linear coding of non-linear hierarchies which has been developed by the ancient grammarian Pāṇini for the concise representation of sound classes. The article introduces briefly Pāṇini’s technique and discusses a general theorem stating under which condition his technique can be applied.

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Acknowledgements

Part of the research presented in this paper was made possible by the Deutsche Forschungsgemeinschaft within the Forschergruppe FOR 600.

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Correspondence to Wiebke Petersen .

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Petersen, W. (2009). Linear Coding of Non-linear Hierarchies: Revitalization of an Ancient Classification Method. In: Fink, A., Lausen, B., Seidel, W., Ultsch, A. (eds) Advances in Data Analysis, Data Handling and Business Intelligence. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01044-6_28

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