Geary's c and Spectral Graph Theory: A Complement

被引：3
|
作者：
Yamada, Hiroshi [1 ]
机构：
[1] Hiroshima Univ, Grad Sch Humanities & Social Sci, 1-2-1 Kagamiyama, Higashihiroshima, Hiroshima 7398525, Japan
来源：
MATHEMATICS | 2023年 / 11卷 / 20期
关键词：
spatial autocorrelation; Geary's c; spectral graph theory; graph Laplacian; graph Fourier transform; SPATIAL AUTOCORRELATION; PERSPECTIVE;
D O I：
10.3390/math11204228
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：7
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