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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