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A166932
Lower bounds for minimal number of simplices in a triangulation of the n-dimensional cube (A019503).
5
5, 16, 67, 308, 1493, 5522
OFFSET
3,1
COMMENTS
The terms are given in Table 1 on page 2 of the Glazyrin reference.
There are many lists of bounds in different papers which differ by range, values, and methods used to obtain them. - Andrey Zabolotskiy, Nov 17 2017
LINKS
A. Bliss, F. E. Su, Lower bounds for simplicial covers and triangulations of cubes, arXiv:math/0310142 [math.CO], 2003 (see Table 1 page 4).
A. Bliss, F. E. Su. Lower bounds for simplicial covers and triangulations of cubes, Discrete Comput. Geom. 33 (2005), 669-686.
R. W. Cottle, Minimal triangulation of the 4-cube, Discrete Math., 40(1):25-29, 1982.
Alexey Glazyrin, Lower bounds for the simplexity of the n-cube, arXiv:0910.4200 [math.MG], 2009-2012 (see Table 1 page 2).
R. B. Hughes and M. R. Anderson, Simplexity of the cube, Discrete Math., 158(1-3):99-150, 1996.
CROSSREFS
KEYWORD
nonn,less
AUTHOR
Jonathan Vos Post, Oct 24 2009
STATUS
approved