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Graph Theory and Geography: From Collaboration to Autocorrelation

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  • Daniel A. Griffith
  • Sandra L. Arlinghaus
  • William C. Arlinghaus

Abstract

Theoretical, methodological, and empirical contributions regarding networks within the context of graph theory constitute a valuable interface between geography and mathematics. Seeking to assess mathematical network geography’s past, present, and future, this article addresses such research and literature by discussing new knowledge produced from networked geographic phenomena—especially Erdös collaboration graphs depicting mentorships or authorships among scholars; outlining a brief history of networks in geographical analysis; and couching spatial autocorrelation within its geographic network links. General commentary transitions into examples of Erdös graphs and their implications for collaborations. The narrative also speaks to networked space challenges of established geographic thought (e.g., Tobler’s first law of geography), with special reference to contributions by Boots and his coauthors. This article concludes with a treatment of graph theory, networks, and spatial autocorrelation.

Suggested Citation

  • Daniel A. Griffith & Sandra L. Arlinghaus & William C. Arlinghaus, 2024. "Graph Theory and Geography: From Collaboration to Autocorrelation," Annals of the American Association of Geographers, Taylor & Francis Journals, vol. 114(8), pages 1639-1652, September.
    • Handle: RePEc:taf:raagxx:v:114:y:2024:i:8:p:1639-1652
    DOI: 10.1080/24694452.2023.2277811
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