Geodesic
The Nevo-Santos-Wilson spheres are shellable
Yirong Yang1
1University of Washington
The electronic journal of combinatorics, Tome 31 (2024) no. 4
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

Nevo, Santos, and Wilson constructed $2^{\Omega(N^d)}$ combinatorially distinct simplicial $(2d-1)$-spheres with $N$ vertices. We prove that all spheres produced by one of their methods are shellable. Combining this with prior results of Kalai, Lee, and Benedetti and Ziegler, we conclude that for all $D \ge 3$, there are $2^{\Theta(N^{\lceil D/2 \rceil})}$ shellable simplicial $D$-spheres with $N$ vertices.
DOI : 10.37236/12072
Classification : 05E45, 52B22, 52B05, 52B70
Mots-clés : triangulation of \((2k-1)\)-spheres, geodesic \(n\)-vertex triangulations

Yirong Yang  1

1 University of Washington 
@article{10_37236_12072,
     author = {Yirong Yang},
     title = {The {Nevo-Santos-Wilson} spheres are shellable},
     journal = {The electronic journal of combinatorics},
     year = {2024},
     volume = {31},
     number = {4},
     doi = {10.37236/12072},
     zbl = {1556.05179},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/12072/}
}
TY  - JOUR
AU  - Yirong Yang
TI  - The Nevo-Santos-Wilson spheres are shellable
JO  - The electronic journal of combinatorics
PY  - 2024
VL  - 31
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.37236/12072/
DO  - 10.37236/12072
ID  - 10_37236_12072
ER  - 
%0 Journal Article
%A Yirong Yang
%T The Nevo-Santos-Wilson spheres are shellable
%J The electronic journal of combinatorics
%D 2024
%V 31
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/12072/
%R 10.37236/12072
%F 10_37236_12072
Yirong Yang. The Nevo-Santos-Wilson spheres are shellable. The electronic journal of combinatorics, Tome 31 (2024) no. 4. doi: 10.37236/12072

Cité par Sources :