Geodesic
Double generalized majorization and diagrammatics
Ars Mathematica Contemporanea, Tome 23 (2023) no. 2, article no. 02, 16 p.

Voir la notice de l'article provenant de la source Ars Mathematica Contemporanea website

In this paper we show that the generalized majorization of partitions of integers has a surprising completing-squares property. Together with the previously obtained transitivity-like property, this enables a compelling diagrammatical interpretation.Apart from purely combinatorial interest, the main result has applications in matrix completion problems, and representation theory of quivers.
DOI : 10.26493/1855-3974.2691.0b7
Keywords: Partitions, majorizations, diagrammatics, inequalities 
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Marija Dodig; Marko Stošić. Double generalized majorization and diagrammatics. Ars Mathematica Contemporanea, Tome 23 (2023) no. 2, article  no. 02, 16 p. doi : 10.26493/1855-3974.2691.0b7. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2691.0b7/

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