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Article

The Diameter of Chess Grows Exponentially

American Mathematical Monthly. 2016. Vol. 123. No. 1. P. 71-77.
Shitov Y.

We present an infinite sequence of pairs (An, Bn) of chess positions on an n × n board such that (1) there is a legal sequence of chess moves leading from An to Bn and (2) any legal sequence leading from An to Bn contains at least exp(n + o(n)) moves.