MAXIMAL J-SIMPLICES IN THE REAL D-DIMENSIONAL UNIT CUBE

Authors
NEUBAUER MG WATKINS W ZEITLIN J
Citation
Mg. Neubauer et al., MAXIMAL J-SIMPLICES IN THE REAL D-DIMENSIONAL UNIT CUBE, J COMB TH A, 80(1), 1997, pp. 1-12
Citations number
6
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES A
ISSN journal
00973165 → ACNP
Volume
80
Issue
1
Year of publication
1997
Pages
1 - 12
Database
ISI
SICI code
0097-3165(1997)80:1<1:MJITRD>2.0.ZU;2-1
Abstract
For each positive even integer j there is an infinite arithmetic seque nce of dimensions d for which we construct a j-simplex of maximum volu me in the d-dimensional unit cube. For fixed d, all of these maximal j -simplices have the same Gram matrix, which is a multiple of I + J. Fo r j even, a new upper bound for the volume of a j-simplex in the d-dim ensional unit cube is given. (C) 1997 Academic Press.