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Neighborhood properties of complex networks

Neighborhood properties of complex networks

A concept of neighborhood in complex networks is addressed based on the criterion of the minimal number of steps to reach other vertices. This amounts to, starting from a given network ${R}_{1}$, generating a family of networks ${R}_{\mathcal{l}},\mathcal{l}=2,3,\dots{}$ such that, the vertices that are $\mathcal{l}$ steps apart in the original …