Geary's c and Spectral Graph Theory: A Complement

被引：5

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.

引用

页数：7

共 17 条

[1]

Bapat R., 2014, Graphs and Matrices, V2nd

[2]

Cliff A.D., 1969, STUDIES REGIONAL SCI, P25

[3] SPATIAL AUTOCORRELATION - REVIEW OF EXISTING AND NEW MEASURES WITH APPLICATIONS [J].