TY - JOUR
T1 - On r-stacked triangulated manifolds
AU - Murai, Satoshi
AU - Nevo, Eran
N1 - Funding Information:
Acknowledgements Research of Satoshi Murai was partially supported by KAKENHI 22740018. Research of Eran Nevo was partially supported by Marie Curie grant IRG-270923 and by ISF grant.
PY - 2014/3
Y1 - 2014/3
N2 - The notion of r-stackedness for simplicial polytopes was introduced by McMullen and Walkup in 1971 as a generalization of stacked polytopes. In this paper, we define the r-stackedness for triangulated homology manifolds and study its basic properties. In addition, we find a new necessary condition for face vectors of triangulated manifolds when all the vertex links are polytopal.
AB - The notion of r-stackedness for simplicial polytopes was introduced by McMullen and Walkup in 1971 as a generalization of stacked polytopes. In this paper, we define the r-stackedness for triangulated homology manifolds and study its basic properties. In addition, we find a new necessary condition for face vectors of triangulated manifolds when all the vertex links are polytopal.
KW - Face vectors
KW - Simplicial complexes
KW - Triangulations of manifolds
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U2 - 10.1007/s10801-013-0451-z
DO - 10.1007/s10801-013-0451-z
M3 - Article
AN - SCOPUS:84893848461
SN - 0925-9899
VL - 39
SP - 373
EP - 388
JO - Journal of Algebraic Combinatorics
JF - Journal of Algebraic Combinatorics
IS - 2
ER -