Almost all graphs of order n have no cospectral mates with height o((n / ln n)^{1/10}).
11 [WX10] Wei Wang and Cheng-Xian Xu
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Almost all graphs have no cospectral mates with height relative small to its order
Almost all graphs of order n have no cospectral mates with height o((n / ln n)^{1/10}).