Fig. 1: The variations of vertex entanglement \({E}_{\tau }\left(v\right)\) with the diffusion propagation time τ. | Communications Physics

Fig. 1: The variations of vertex entanglement \({E}_{\tau }\left(v\right)\) with the diffusion propagation time τ.

From: Identifying key players in complex networks via network entanglement

Fig. 1

The curves are colored based on the degree of the detached vertex when constructing the v-control network Gv, with darker orange indicating a larger degree. It can be observed that \({E}_{0}\left(v\right)\to 0\) when diffusion is transient and \({E}_{\infty }\left(v\right)\to {\log }_{2}{C}_{v}\) on an extremely large time scale, where Cv denotes the number of connected components of Gv.

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