Geodesic
Generalized permutohedra, h-vectors of cotransversal matroids and pure O-sequences (extended abstract)
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

Stanley has conjectured that the h-vector of a matroid complex is a pure O-sequence. We will prove this for cotransversal matroids by using generalized permutohedra. We construct a bijection between lattice points inside a $r$-dimensional convex polytope and bases of a rank $r$ transversal matroid. 
@article{DMTCS_2011_special_260_a59,
     author = {Oh, Suho},
     title = {Generalized permutohedra, h-vectors of cotransversal matroids and pure {O-sequences} (extended abstract)},
     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.2946},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2946/}
}
TY  - JOUR
AU  - Oh, Suho
TI  - Generalized permutohedra, h-vectors of cotransversal matroids and pure O-sequences (extended abstract)
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.2946/
DO  - 10.46298/dmtcs.2946
LA  - en
ID  - DMTCS_2011_special_260_a59
ER  - 
%0 Journal Article
%A Oh, Suho
%T Generalized permutohedra, h-vectors of cotransversal matroids and pure O-sequences (extended abstract)
%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.2946/
%R 10.46298/dmtcs.2946
%G en
%F DMTCS_2011_special_260_a59
Oh, Suho. Generalized permutohedra, h-vectors of cotransversal matroids and pure O-sequences (extended abstract). 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.2946. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2946/

Cité par Sources :