Geodesic
The combinatorics of interval vector polytopes
Matthias Beck1 ; Jessica De Silva ; Gabriel Dorfsman-Hopkins ; Joseph Pruitt ; Amanda Ruiz
1San Francisco State University
The electronic journal of combinatorics, Tome 20 (2013) no. 3
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

An interval vector is a $(0,1)$-vector in $\mathbb{R}^n$ for which all the $1$'s appear consecutively, and an interval vector polytope is the convex hull of a set of interval vectors in $\mathbb{R}^n$. We study three particular classes of interval vector polytopes which exhibit interesting geometric-combinatorial structures; e.g., one class has volumes equal to the Catalan numbers, whereas another class has face numbers given by the Pascal 3-triangle.
DOI : 10.37236/2997
Classification : 52B05, 05A15, 52B20
Mots-clés : interval vector, lattice polytope, Ehrhart polynomial, root polytope, Catalan number, \(f\)-vector

Matthias Beck  1   ; Jessica De Silva    ; Gabriel Dorfsman-Hopkins    ; Joseph Pruitt    ; Amanda Ruiz 

1 San Francisco State University 
@article{10_37236_2997,
     author = {Matthias Beck and Jessica De Silva and Gabriel Dorfsman-Hopkins and Joseph Pruitt and Amanda Ruiz},
     title = {The combinatorics of interval vector polytopes},
     journal = {The electronic journal of combinatorics},
     year = {2013},
     volume = {20},
     number = {3},
     doi = {10.37236/2997},
     zbl = {1295.52012},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2997/}
}
TY  - JOUR
AU  - Matthias Beck
AU  - Jessica De Silva
AU  - Gabriel Dorfsman-Hopkins
AU  - Joseph Pruitt
AU  - Amanda Ruiz
TI  - The combinatorics of interval vector polytopes
JO  - The electronic journal of combinatorics
PY  - 2013
VL  - 20
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.37236/2997/
DO  - 10.37236/2997
ID  - 10_37236_2997
ER  - 
%0 Journal Article
%A Matthias Beck
%A Jessica De Silva
%A Gabriel Dorfsman-Hopkins
%A Joseph Pruitt
%A Amanda Ruiz
%T The combinatorics of interval vector polytopes
%J The electronic journal of combinatorics
%D 2013
%V 20
%N 3
%U http://geodesic.mathdoc.fr/articles/10.37236/2997/
%R 10.37236/2997
%F 10_37236_2997
Matthias Beck; Jessica De Silva; Gabriel Dorfsman-Hopkins; Joseph Pruitt; Amanda Ruiz. The combinatorics of interval vector polytopes. The electronic journal of combinatorics, Tome 20 (2013) no. 3. doi: 10.37236/2997

Cité par Sources :