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Volumn 80, Issue 3, 2009, Pages

Structure of shells in complex networks

Author keywords

[No Author keywords available]

Indexed keywords

AUTONOMOUS SYSTEMS; AVERAGE DEGREE; AVERAGE DISTANCE; CITATION NETWORKS; COLLABORATION NETWORK; COMPLEX NETWORKS; CONNECTED NETWORKS; CORRELATION FUNCTION; DEGREE DISTRIBUTIONS; EMPIRICAL RESULTS; EMPIRICAL VALUES; FUNCTIONAL FORMS; GENERATING FUNCTIONS; IN-SHELL; NETWORK DIAMETER; POWER LAW DISTRIBUTION; RANDOMLY CONNECTED NETWORKS; REAL-WORLD NETWORKS; SHELL STRUCTURE; STATISTICAL PROPERTIES; THEORETICAL PREDICTION; TRANSPORT PROCESS;

EID: 70349505825     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.036105     Document Type: Article
Times cited : (131)

References (41)
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    • Note that diameter is sometimes used to indicate the largest distance between any pairs of nodes. In this paper, we use it as the average distance between any pairs of nodes.
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    • Here t represent the number of simulation steps of the building process, each of which consists of selecting a single open link belonging to the aggregate and connect it to another link [cases (i), (ii), and (iii) shown in Fig. 1].
    • Here t represent the number of simulation steps of the building process, each of which consists of selecting a single open link belonging to the aggregate and connect it to another link [cases (i), (ii), and (iii) shown in Fig. 1].
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    • If r= r ℓ corresponding to a certain shell ℓ, r= k P ℓ (k) and Pr (k) = P ℓ (k) /r in notations of Ref..
    • If r= r ℓ corresponding to a certain shell ℓ, r= k P ℓ (k) and Pr (k) = P ℓ (k) /r in notations of Ref..
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    • Λ (t ℓ) N= Λ ℓ (t ℓ) N coincides with χ ℓ in notations of Ref..
    • Λ (t ℓ) N= Λ ℓ (t ℓ) N coincides with χ ℓ in notations of Ref..
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    • For different realizations from different roots, the results shown in Figs. 3 4 are aligned nicely along the same line. There are almost no deviations.
    • For different realizations from different roots, the results shown in Figs. 3 4 are aligned nicely along the same line. There are almost no deviations.


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