Geodesic
Double homotopy Cohen-Macaulayness for the poset of injective words and the classical NC-partition lattice
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) (2011).

Voir la notice de l'article provenant de la source Episciences

In this paper we study topological properties of the poset of injective words and the lattice of classical non-crossing partitions. Specifically, it is shown that after the removal of the bottom and top elements (if existent) these posets are doubly Cohen-Macaulay. This extends the well-known result that those posets are shellable. Both results rely on a new poset fiber theorem, for doubly homotopy Cohen-Macaulay posets, which can be considered as an extension of the classical poset fiber theorem for homotopy Cohen-Macaulay posets. 
@article{DMTCS_2011_special_260_a48,
     author = {Kallipoliti, Myrto and Kubitzke, Martina},
     title = {Double homotopy {Cohen-Macaulayness} for the poset of injective words and the classical {NC-partition} lattice},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)},
     year = {2011},
     doi = {10.46298/dmtcs.2935},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2935/}
}
TY  - JOUR
AU  - Kallipoliti, Myrto
AU  - Kubitzke, Martina
TI  - Double homotopy Cohen-Macaulayness for the poset of injective words and the classical NC-partition lattice
JO  - Discrete mathematics & theoretical computer science
PY  - 2011
VL  - DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2935/
DO  - 10.46298/dmtcs.2935
LA  - en
ID  - DMTCS_2011_special_260_a48
ER  - 
%0 Journal Article
%A Kallipoliti, Myrto
%A Kubitzke, Martina
%T Double homotopy Cohen-Macaulayness for the poset of injective words and the classical NC-partition lattice
%J Discrete mathematics & theoretical computer science
%D 2011
%V DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2935/
%R 10.46298/dmtcs.2935
%G en
%F DMTCS_2011_special_260_a48
Kallipoliti, Myrto; Kubitzke, Martina. Double homotopy Cohen-Macaulayness for the poset of injective words and the classical NC-partition lattice. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) (2011). doi : 10.46298/dmtcs.2935. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2935/

Cité par Sources :