Geodesic
Partial alternating sign matrix bijections and dynamics
Dylan Heuer1
1Milwaukee School of Engineering
The electronic journal of combinatorics, Tome 31 (2024) no. 2
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We investigate analogues of alternating sign matrices, called partial alternating sign matrices. We prove bijections between these matrices and several other combinatorial objects. We use an analogue of Wieland's gyration on fully-packed loops, which we relate to the study of toggles and order ideals. Finally, we show that rowmotion on order ideals of a specific poset and gyration on partial fully-packed loop configurations have the same orbit structure.
DOI : 10.37236/10715
Classification : 05B20, 05A05, 05C25, 06A07
Mots-clés : chained alternating sign matrices, fully-packed loop configuration

Dylan Heuer  1

1 Milwaukee School of Engineering 
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     author = {Dylan Heuer},
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     year = {2024},
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Dylan Heuer. Partial alternating sign matrix bijections and dynamics. The electronic journal of combinatorics, Tome 31 (2024) no. 2. doi: 10.37236/10715

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