Geary’s c and Spectral Graph Theory: A Complement

Hiroshi Yamada ()
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Hiroshi Yamada: Graduate School of Humanities and Social Sciences, Hiroshima University, 1-2-1 Kagamiyama, Higashihiroshima 739-8525, Japan

Mathematics, 2023, vol. 11, issue 20, 1-7

Abstract: Spatial autocorrelation, which describes the similarity between signals on adjacent vertices, is central to spatial science, and Geary’s c is one of the most-prominent numerical measures of it. Using concepts from spectral graph theory, this paper documents new theoretical results on the measure. MATLAB/GNU Octave user-defined functions are also provided.

Keywords: spatial autocorrelation; Geary’s c; spectral graph theory; graph Laplacian; graph Fourier transform (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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