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Some Structures and Notation of Q-analysis

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  • J H Johnson

    (Department of Geography, University of Cambridge, Cambridge CB2 3EN, England)

Abstract

This paper is intended to be a short and convenient reference for some of the standard definitions and notation of Q -analysis. Notation is established for relations between sets; simplicial complexes determined by relations; q -connectivity and Q -analysis; the structure vectors and methods of comparing them; antivertices; patterns on a complex; chain complexes and pattern polynomials; the face and coface operators; t -forces; backcloth and traffic on the backcloth; slicing; and strain pairs. The paper contains discussions of structure vector comparisons, the relationship between the structure vectors and the defining relation, and strain pairs. The notation and definitions are consistent with Atkin's standard texts, and the paper is self-contained.

Suggested Citation

  • J H Johnson, 1981. "Some Structures and Notation of Q-analysis," Environment and Planning B, , vol. 8(1), pages 73-86, March.
    • Handle: RePEc:sae:envirb:v:8:y:1981:i:1:p:73-86
    DOI: 10.1068/b080073
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    Cited by:

    1. Maletić, Slobodan & Rajković, Milan, 2014. "Consensus formation on a simplicial complex of opinions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 397(C), pages 111-120.
    2. Saavedra, Serguei & Efstathiou, Janet & Reed-Tsochas, Felix, 2007. "Identifying the underlying structure and dynamic interactions in a voting network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(2), pages 672-688.
    3. Thomas Jacobson & Wenjie Yan, 1998. "Q-Analysis Techniques for Studying Communication Content," Quality & Quantity: International Journal of Methodology, Springer, vol. 32(1), pages 93-108, February.
    4. Duckstein, Lucien & Nobe, Steven A., 1997. "Q-analysis for modeling and decision making," European Journal of Operational Research, Elsevier, vol. 103(3), pages 411-425, December.

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