Journal
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
Volume 31, Issue 1, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218348X23500160
Keywords
Fractal Network; Dimension; Touching Networks
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We define the Hausdorff dimension of the family of networks {G(n)}n ≥ 1, inspired by Frostman's characteristics of potential for the Hausdorff dimension of fractals in Euclidean spaces. We prove that the Hausdorff dimension of the touching networks is log m/log N. Our definition is distinct from the fractal dimension defined for real-world networks.
For a family of networks {G(n)}n >= 1, we define the Hausdorff dimension of {G(n)}n >= 1 inspired by the Frostman's characteristics of potential for Hausdorff dimension of fractals on Euclidean spaces. We prove that our Hausdorff dimension of the touching networks is log m/log N. Our definition is quite different from the fractal dimension defined for real-world networks.
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