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Séminaire Lotharingien de Combinatoire, B75e (2016), 9 pp.

# Jérémie Bettinelli

#
A Simple Explicit Bijection Between (*n*,2)-Gog and Magog Trapezoids

**Abstract.**
A sub-problem of the open problem of finding an explicit bijection between alternating sign matrices and totally symmetric self-complementary plane partitions consists in finding an explicit bijection between so-called (*n*,*k*)-Gog trapezoids and (*n*,*k*)-Magog trapezoids. A quite involved bijection was found by Biane and Cheballah in the case *k*=2. We give here a simpler bijection for this case.

Received: March 11, 2016.
Accepted: March 13, 2016.
Final Version: March 16, 2016.

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