Majorization fails to characterize inequalities among complete homogeneous symmetric functions for all degrees greater than 7.
Sra, On inequalities for normalized Schur functions, European Journal of Combina- torics 51 (2016) 492-494
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Majorization and Inequalities among Complete Homogeneous Symmetric Functions
Majorization fails to characterize inequalities among complete homogeneous symmetric functions for all degrees greater than 7.