2 problems

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Conjecture on smaller non-realizable plabic graphs
Conjecture on smaller non-realizable plabic graphs. Much smaller non-realizable plabic graphs exist.
Conjectureopenplabic-graphs soliton-graphs totally-positive-grassmannianarXiv posted 2 days ago
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Huang's realizability conjecture for weakly separated collections
Huang's conjecture. Every weakly separated collection for any ${\rm Gr}(N,M)_{>0}$ is realizable for some choice of parameters.
Conjectureopenplabic-graphs soliton-graphs totally-positive-grassmannianarXiv posted 2 days ago

Conjecture on smaller non-realizable plabic graphs