On Face Vectors of Barycentric Subdivisions of Manifolds

2010 ◽  
Vol 24 (3) ◽  
pp. 1019-1037 ◽  
Author(s):  
Satoshi Murai
Keyword(s):  
Face Vectors

scholarly journals Face Vectors of Two-Dimensional Buchsbaum Complexes

10.37236/157 ◽  
2009 ◽  
Vol 16 (1) ◽  
Author(s):  
Satoshi Murai
Keyword(s):  
Simplicial Complexes ◽  
Two Dimensional ◽  
Face Vectors

In this paper, we characterize all possible $h$-vectors of $2$-dimensional Buchsbaum simplicial complexes.

scholarly journals Cohen–Macaulay Graphs and Face Vectors of Flag Complexes

2012 ◽  
Vol 26 (1) ◽  
pp. 89-101 ◽  
Author(s):  
David Cook ◽  
Uwe Nagel
Keyword(s):  
Face Vectors ◽  
Flag Complexes

scholarly journals Face vectors of flag complexes

2008 ◽  
Vol 164 (1) ◽  
pp. 153-164 ◽  
Author(s):  
Andrew Frohmader
Keyword(s):  
Face Vectors ◽  
Flag Complexes

Multiple, Combined Plications of the SMAS-Platysma Complex: Breaking Down the Aging-Face Vectors

1999 ◽  
Vol 104 (4) ◽  
pp. 1101-1102
Author(s):  
Lázaro Cárdenas-Camarena ◽  
Luis E. González ◽  
Rod J. Rohrich
Keyword(s):  
Aging Face ◽  
Face Vectors

scholarly journals Face vectors of subdivided simplicial complexes

2012 ◽  
Vol 312 (2) ◽  
pp. 248-257 ◽  
Author(s):  
Emanuele Delucchi ◽  
Aaron Pixton ◽  
Lucas Sabalka
Keyword(s):  
Simplicial Complexes ◽  
Face Vectors

scholarly journals On face vectors and vertex vectors of convex polyhedra

1993 ◽  
Vol 118 (1-3) ◽  
pp. 119-144 ◽  
Author(s):  
Stanislav Jendrol'
Keyword(s):  
Convex Polyhedra ◽  
Face Vectors

scholarly journals Flag Vectors of Multiplicial Polytopes

10.37236/1818 ◽  
2004 ◽  
Vol 11 (1) ◽  
Author(s):  
Margaret M. Bayer
Keyword(s):  
Special Class ◽  
Simple Formula ◽  
Natural Generalization ◽  
Cyclic Polytopes ◽  
Face Vectors

Bisztriczky introduced the multiplex as a generalization of the simplex. A polytope is multiplicial if all its faces are multiplexes. In this paper it is proved that the flag vectors of multiplicial polytopes depend only on their face vectors. A special class of multiplicial polytopes, also discovered by Bisztriczky, is comprised of the ordinary polytopes. These are a natural generalization of the cyclic polytopes. The flag vectors of ordinary polytopes are determined. This is used to give a surprisingly simple formula for the $h$-vector of the ordinary $d$-polytope with $n+1$ vertices and characteristic $k$: $h_i={k-d+i\choose i}+(n-k){k-d+i-1\choose i-1}$, for $i\le d/2$. In addition, a construction is given for 4-dimensional multiplicial polytopes having two-thirds of their vertices on a single facet, answering a question of Bisztriczky.

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