Weighted quasisymmetric enumerator for generalized permutohedra
We introduce a weighted quasisymmetric enumerator function associated with generalized permutohedra. It refines the Billera, Jia and Reiner quasisymmetric function which also includes the Stanley chromatic symmetric function. Besides that, it carries information of face numbers of generalized permut...
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| Veröffentlicht in: | Journal of algebraic combinatorics 2020-03, Vol.51 (2), p.247-272 |
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| container_end_page | 272 |
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| container_issue | 2 |
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| container_title | Journal of algebraic combinatorics |
| container_volume | 51 |
| creator | Grujić, Vladimir Pešović, Marko Stojadinović, Tanja |
| description | We introduce a weighted quasisymmetric enumerator function associated with generalized permutohedra. It refines the Billera, Jia and Reiner quasisymmetric function which also includes the Stanley chromatic symmetric function. Besides that, it carries information of face numbers of generalized permutohedra. We consider more systematically the cases of nestohedra and matroid base polytopes. |
| doi_str_mv | 10.1007/s10801-019-00874-x |
| format | Article |
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| subjects | Combinatorics Computer Science Convex and Discrete Geometry Group Theory and Generalizations Lattices Mathematics Mathematics and Statistics Order Ordered Algebraic Structures Polytopes |
| title | Weighted quasisymmetric enumerator for generalized permutohedra |
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