We construct a countable infinite graph G that does not contain cycles oflength four having the property that the sequence of graphs $G_n$ induced bythe first $n$ vertices has minimum degree $\delta(G_n)> n^{\sqrt{2}-1+o(1)}$.
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机译:我们构造了一个不计数的无限图G,它不包含长度为4的循环,其性质为,由第一个$ n $顶点诱导的图序列$ G_n $具有最小度$ \ delta(G_n)> n ^ {\ sqrt {2} -1 + o(1)} $。
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