Classifying the near-equality of ribbon Schur functions

Assaf, 2015, Dual equivalence graphs I: A new paradigm for Schur positivity, Forum Math. Sigma, 3, 10.1017/fms.2015.15 Ballantine, 2014, Schur-positivity in a square, Electron. J. Combin., 21, 10.37236/3796 Billera, 2006, Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions, Adv. Math., 204, 204, 10.1016/j.aim.2005.05.014 Billey, 2019 Bump, 2017 Dahlberg, 2019 Dahlberg, 2019 Elizalde, 2017, On rotated Schur-positive sets, J. Combin. Theory Ser. A, 152, 121, 10.1016/j.jcta.2017.06.002 Elizalde, 2017, Schur-positive sets of permutations via products of grid classes, J. Algebraic Combin., 45, 363, 10.1007/s10801-016-0710-x Fulton, 1997 Fulton, 1999, Eigenvalues, invariant factors, highest weights, and Schubert calculus, Bull. Amer. Math. Soc., 37, 209, 10.1090/S0273-0979-00-00865-X Gaetz, 2017 Gasharov, 1996, Incomparability graphs of (3+1)-free posets are s-positive, Discrete Math., 157, 193, 10.1016/S0012-365X(96)83014-7 Gessel, 2017 Haiman, 2003, 39 King, 2008, Schur positivity of skew Schur function differences and applications to ribbons and Schubert classes, J. Algebraic Combin., 28, 139, 10.1007/s10801-007-0113-0 Lam, 2007, Schur positivity and Schur log-concavity, Amer. J. Math., 129, 1611, 10.1353/ajm.2007.0045 McNamara, 2008, Necessary conditions for Schur-positivity, J. Algebraic Combin., 28, 495, 10.1007/s10801-007-0114-z McNamara, 2009, Positivity results on ribbon Schur function differences, Eur. J. Combin., 30, 1352, 10.1016/j.ejc.2008.09.026 McNamara, 2009, Towards a combinatorial classification of skew Schur functions, Trans. Amer. Math. Soc., 361, 4437, 10.1090/S0002-9947-09-04683-2 McNamara, 2012, Maximal supports and Schur-positivity among connected skew shapes, Eur. J. Combin., 33, 1190, 10.1016/j.ejc.2012.02.001 Patrias, 2018, The probability of positivity in symmetric and quasisymmetric functions, J. Comb. Pawlowski, 2018 Reiner, 2007, Coincidences among skew Schur functions, Adv. Math., 216, 118, 10.1016/j.aim.2007.05.006 Rhoades, 2010, Kahzdan–Lusztig imminants and products of matrix minors, II, Linear Multilinear Algebra, 58, 137, 10.1080/03081080701646638 Shareshian, 2016, Chromatic quasisymmetric functions, Adv. Math., 497, 10.1016/j.aim.2015.12.018 Stanley, 1999 Tom, 2018, Necessary conditions for Schur-maximality, Electron. J. Combin., 25, 10.37236/7524