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Table 3 Definitions of functions and their values before and after the line graph transformation is applied to the hierarchical network. N k : number of nodes of degree k. The † symbol means that these dependences were analyzed in the present work, while the * symbol means that it was studied in our previous work [13].

From: Clustering under the line graph transformation: application to reaction network

Func.

Definition

Dependence before

Dependence after (Eq. (11)

P(k)

N k /N

k -γ

k-γ+1*

C i (k)

2n/[k i (k i - 1)]

k -1.1

k 0.08†

<C >

size-independent†

size-independentâ€