Graph Theory and Geography
From Collaboration to Autocorrelation
Bibliographic Data
| ID | 3775678 |
|---|---|
| Authors | Daniel A Griffith (0000-0001-5125-6450, The University of Texas at Dallas, corresponding author), Sandra Lach Arlinghau (0000-0001-5500-8825, University of Michigan), William Charles Arlinghaus (0000-0002-2085-0948, Lawrence Technological University) |
| Year | 2024 |
| Volume | 114 |
| Issue | 8 |
| Pages | 1639-1652 |
| Publication date | 2024-09-13 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | Annals of the American Association of Geographers (JOURNAL) |
| Journal identifiers | ISSN: 2469-4452 • E-ISSN: 2469-4460 |
| Publisher | Informa UK Limited (PUBLISHER • GB) |
| DOI | 10.1080/24694452.2023.2277811 |
| OpenAlex | W4390659533 |
| Language | EN |
| References cited | 43 |
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
Critical geography · Data science · Economic geography · Geography · Graph · Historical geography · Human geography · Narrative · Regional science · Sociology · Spatial analysis · Computer Science · Geographic Information Systems Studies · Land Use and Ecosystem Services · Spatial and Panel Data Analysis · Theoretical Computer Science
Geographic Information Analysis
Graph Theory
Network analysis in geography
Factor-analytic study of the connectivity of a transportation network
Connectivity of the Interstate Highway System
A spatial analysis of gravity flows
The Physical Interpretation of Eigenfunctions of Dichotomous Matrices
On the Geographical Interpretation of Eigenvalues
A Variance-Stabilizing Coding Scheme for Spatial Link Matrices
A Computer Movie Simulating Urban Growth in the Detroit Region
The Exact Distribution of Moran's I
| Citation velocity | historical |
|---|---|
| Highly cited | No |