|
%I #31 Jan 14 2020 05:58:31
%S 5,16,67,308,1493,5522
%N Lower bounds for minimal number of simplices in a triangulation of the n-dimensional cube (A019503).
%C The terms are given in Table 1 on page 2 of the Glazyrin reference.
%C 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
%H A. Bliss, F. E. Su, <a href="http://arxiv.org/abs/math/0310142">Lower bounds for simplicial covers and triangulations of cubes</a>, arXiv:math/0310142 [math.CO], 2003 (see Table 1 page 4).
%H A. Bliss, F. E. Su. <a href="https://doi.org/10.1007/s00454-004-1128-0">Lower bounds for simplicial covers and triangulations of cubes</a>, Discrete Comput. Geom. 33 (2005), 669-686.
%H R. W. Cottle, <a href="http://dx.doi.org/10.1016/0012-365X(82)90185-6">Minimal triangulation of the 4-cube</a>, Discrete Math., 40(1):25-29, 1982.
%H Alexey Glazyrin, <a href="http://arxiv.org/abs/0910.4200">Lower bounds for the simplexity of the n-cube</a>, arXiv:0910.4200 [math.MG], 2009-2012 (see Table 1 page 2).
%H R. B. Hughes and M. R. Anderson, <a href="http://dx.doi.org/10.1016/0012-365X(95)00075-8">Simplexity of the cube</a>, Discrete Math., 158(1-3):99-150, 1996.
%Y Cf. A019502, A019503, A019504.
%K nonn,less
%O 3,1
%A _Jonathan Vos Post_, Oct 24 2009
|
