3 years ago

A short proof of the middle levels theorem.

Jerri Nummenpalo, Torsten Mütze, Petr Gregor

Consider the graph that has as vertices all bitstrings of length $2n+1$ with exactly $n$ or $n+1$ entries equal to 1, and an edge between any two bitstrings that differ in exactly one bit. The well-known middle levels conjecture asserts that this graph has a Hamilton cycle for any $n\geq 1$. In this paper we present a new proof of this conjecture, which is much shorter and more accessible than the original proof.

Publisher URL: http://arxiv.org/abs/1710.08249

DOI: arXiv:1710.08249v1

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