The saturation property holds for the Newton polytopes of all immanants of Giambelli matrices, proven by explicit leading monomial coefficients, and is verified in special cases for Jacobi-Trudi matrices.
Murota.Discrete convex analysis
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Newton polytopes of immanants of some combinatorial matrices
The saturation property holds for the Newton polytopes of all immanants of Giambelli matrices, proven by explicit leading monomial coefficients, and is verified in special cases for Jacobi-Trudi matrices.