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Seminar: Farid Aliniaeifard, Generalized Chromatic Functions

January 11, 2023 | 4:15 pm - 5:15 pm EST

We define vertex-colourings for edge-coloured digraphs, which unify the theory of P-partitions and proper vertex-colourings of graphs. Furthermore, we use our vertex-colourings to define generalized chromatic functions, which merge the chromatic symmetric and quasisymmetric functions and generating functions of P-partitions. We also discuss the relations between generalized chromatic functions, Schur functions in noncommuting variables, and the well-known Stanley-Stembridge (3+1)-free conjecture.


January 11, 2023
4:15 pm - 5:15 pm EST
Event Category:


SAS 4201