Geodesic
Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020).

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We describe a combinatorial formula for the coefficients when the dual immaculate quasisymmetric func- tions are decomposed into Young quasisymmetric Schur functions. We prove this using an analogue of Schensted insertion. We also provide a Remmel-Whitney style rule to generate these coefficients algorithmically. 
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     author = {Allen, Edward and Hallam, Joshua and Mason, Sarah},
     title = {Dual {Immaculate} {Quasisymmetric} {Functions} {Expand} {Positively} into {Young} {Quasisymmetric} {Schur} {Functions}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)},
     year = {2020},
     doi = {10.46298/dmtcs.6410},
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     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6410/}
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Allen, Edward; Hallam, Joshua; Mason, Sarah. Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020). doi : 10.46298/dmtcs.6410. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6410/

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