Skip to main content

The “Partition with a Structure” Concept in Biological Data Analysis

  • Conference paper
Classification, Data Analysis, and Knowledge Organization
  • 388 Accesses

Abstract

Let i = 1,..., N be some units (objects) and R = R 1,..., R p be an arbitrary partition of the set of the units with classes R 1,..., R p. Let K ⊂ 1,...,p 2 be an association graph on the set of classes R 8, i.e. two classes R s, R t are called to be associated if s,tK. The pair M = (R,K) will be called a partition with a structure, or a macrostructure.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Arabie, P., Boorman, S.A., AND Levitt, P.R. (1978): Constructing block models: how and why. J. Math. Psych., 17, 21–63.

    MATH  Google Scholar 

  • Fienberg, S.E., Meger, M.M., Wasserman, S.S. (1985): Statistical analysis of multiple sociometric relations. J. Amer. Math. Assoc., 80, 51–67.

    Google Scholar 

  • Kupershtokh, V., Trofimov, V.L. (1975): On an algorithm for macrostructure revealing. Automation and Remote Control, 11, 80–90.

    MathSciNet  Google Scholar 

  • Mirkin, B.G. (1974): Approximation problems in a space of relations and the analysis of non-quantitative variables. Automation and Remote Control, 9, 88–95.

    Google Scholar 

  • Mirkin, B.G., Rodin, S.N. (1984): Graphs and genes. Springer, Berlin — Heidelberg.

    Book  MATH  Google Scholar 

  • Mirkin, B.G. (1985): Groupings in socio-economic researches. atistika Publishers, Moscow (in Russian).

    Google Scholar 

  • Ravkin, Y.S. (1975): The birds of North-Western Altay. Nauka Publishers, Novosibirsk.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Mirkin, B.G. (1991). The “Partition with a Structure” Concept in Biological Data Analysis. In: Bock, HH., Ihm, P. (eds) Classification, Data Analysis, and Knowledge Organization. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76307-6_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-76307-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53483-9

  • Online ISBN: 978-3-642-76307-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics