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Also let $G[F,E_k,H_{uv}]$ be the graph with $k$ edge-pockets, where $F$ is a simple graph of order $n\\geq2$, $E_k=\\{e_1,\\ldots,e_k\\}$ is a subset of the edge set of $F$ and $H_{uv}$ is a simple graph of order $m\\geq3$, $uv$ is a specified edge of $H_{uv}$ such that $H_{uv}-u$ is isomorphic to $H_{uv}-v$. 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