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Volumn 75, Issue 6, 2007, Pages

Numerical evaluation of the upper critical dimension of percolation in scale-free networks

Author keywords

[No Author keywords available]

Indexed keywords

CLUSTER ANALYSIS; NUMERICAL METHODS; PERCOLATION (FLUIDS);

EID: 34547265672     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.066110     Document Type: Article
Times cited : (29)

References (28)
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    • The case of 2<λ<3 is more complex since there is no finite percolation threshold (pc →0). However, since for λ→3, dc →, Eq. 1 suggests that for 2<λ≤3 there is no finite upper critical dimension but dc = for all λ≤3.
    • The case of 2<λ<3 is more complex since there is no finite percolation threshold (pc →0). However, since for λ→3, dc →, Eq. 1 suggests that for 2<λ≤3 there is no finite upper critical dimension but dc = for all λ≤3.
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    • The finite size dependency of Eq. 3 cannot be obtained from the condition κ k02 k0 =2, since this formula is valid only in the limit N→.
    • The finite size dependency of Eq. 3 cannot be obtained from the condition κ k0 =2, since this formula is valid only in the limit N→.
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    • The largest percolation cluster at the criticality was analytically predicted as S ∼ N (λ-3) (λ-1).
    • The largest percolation cluster at the criticality was analytically predicted as S ∼ N (λ-3) (λ-1).


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