6 problems
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Nonzero edge vectors through gauge freedom on reducible plabic networks
Gauge-removal conjecture. In this situation, it should be possible to use the extra gauge freedom of the weights on the reducible network to obtain nonzero edge vectors.
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Geometric-signature characterization conjecture for PBDTP graphs
Let the PBDTP graph represent the irreducible positroid cell , and suppose every edge lie…
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Lam's signature conjecture for positroid boundary measurements
Let a bipartite graph be equipped with edge weights and formal half-edge variables satisfying the edge-weight, edge-compatibility, white-vertex, and black-vertex relation…
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Nonvanishing edge-vector conjecture for reducible PBDTP networks
Let a PBDTP network be a reducible oriented planar network representing a point in an irreducible positroid cell, and suppose that each edge lies on a directed path to the boundary…
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Geometric completeness conjecture for vertex signatures of plabic networks
Fix a reduced PBDTP graph representing the -dimensional irreducible positroid cell…
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Elimination of null edge vectors on reducible PBDTP networks
Let be a reducible PBDTP network representing a point…