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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