A question about LIS of random permutation

Revision en1, by Bartholomew, 2019-08-07 14:51:46

What's the expected length of LIS of a random n-permutation.

According to my test, it approximates $$$O(\sqrt n)$$$.

But how to prove it?

Tags #math

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en1 English Bartholomew 2019-08-07 14:51:46 181 Initial revision (published)