Weighted $\mathsf{P}-$partitions enumerator
To an extended permutohedron we associate the weighted integer points enumerator, whose principal specialization is the $f$-polynomial. In the case of poset cones it refines Gessel's $\mathsf{P}$-partitions enumerator. We show that this enumerator is a quasisymmetric function obtained by univer...
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| creator | Pešović, Marko Stojadinović, Tanja Grujić, Vladimir |
| description | To an extended permutohedron we associate the weighted integer points
enumerator, whose principal specialization is the $f$-polynomial. In the case
of poset cones it refines Gessel's $\mathsf{P}$-partitions enumerator. We show
that this enumerator is a quasisymmetric function obtained by universal
morphism from the Hopf algebra of posets. |
| doi_str_mv | 10.48550/arxiv.1907.00099 |
| format | Article |
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enumerator, whose principal specialization is the $f$-polynomial. In the case
of poset cones it refines Gessel's $\mathsf{P}$-partitions enumerator. We show
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enumerator, whose principal specialization is the $f$-polynomial. In the case
of poset cones it refines Gessel's $\mathsf{P}$-partitions enumerator. We show
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enumerator, whose principal specialization is the $f$-polynomial. In the case
of poset cones it refines Gessel's $\mathsf{P}$-partitions enumerator. We show
that this enumerator is a quasisymmetric function obtained by universal
morphism from the Hopf algebra of posets.</abstract><doi>10.48550/arxiv.1907.00099</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Combinatorics |
| title | Weighted $\mathsf{P}-$partitions enumerator |
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