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• W3201877757 abstract "Spatial autocorrelation, of which Geary’s c has traditionally been a popular measure, is fundamental to spatial science. This paper provides a new perspective on Geary’s c. We discuss this using concepts from spectral graph theory/linear algebraic graph theory. More precisely, we provide three types of representations for it: (a) graph Laplacian representation, (b) graph Fourier transform representation, and (c) Pearson’s correlation coefficient representation. Subsequently, we illustrate that the spatial autocorrelation measured by Geary’s c is positive (resp. negative) if spatially smoother (resp. less smooth) graph Laplacian eigenvectors are dominant. Finally, based on our analysis, we provide a recommendation for applied studies." @default.
• W3201877757 created "2021-10-11" @default.
• W3201877757 creator A5024481507 @default.
• W3201877757 date "2021-10-03" @default.
• W3201877757 modified "2023-10-11" @default.
• W3201877757 title "Geary’s c and Spectral Graph Theory" @default.
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• W3201877757 doi "https://doi.org/10.3390/math9192465" @default.
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