Let G be a connected undirected graph with at least 3 vertic

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Let G be a connected undirected graph with at least 3 vertices,and let G^3 be the graph obtained by connecting all pairs of vertices that are connected by a path in G of length at most 3.prove that G^3 is hamiltonian.(hint:construct a spanning tree for G,and use an inductive arguement)

设G是一个连通无向图,至少3个顶点,并令G ^ 3,通过连接是通过一个连接的长度G路径最多3个顶点都对得到的图.证明了G ^ 3是哈密尔顿.（提示：建立一个G的生成树,并使用一个电感参数）
说实话,我不懂你这个题是什么意思没有学过

英语翻译Let G be a graph with vertices v1,v2,…,vm and edges e1,e 图论的Show that a simple graph with at least two vertices there 同义词；be connected with be connected with 用法 be connected with造句 ___theory must be closely connected with practice is a basic be connected with=be linked with? 英语翻译Accurate error estimates can be calculated with at least 是be connected with 还是be connected to be connected with BE CAUSED BY 区别 be connected with 和 be connected to 和 be connected by的区别选用合适词组填空.at the top of,make efforts,be connected with,up to,