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Sets of vectors with many orthogonal paris:
Authors:Zoltán Füredi  Richard Stanley
Institution:(1) Mathematical Institute of the Hungarian Academy of Sciences, P.O.B. 127, 1364 Budapest, Hungary;(2) Department of Mathematics University of Illinois, 61801 Urbana, IL, USA;(3) Department of Mathematics Massachusetts Institute of Technology, 02139-4307 Cambridge, MA, USA
Abstract:What is the most number of vectors inR d such that anyk+1 contain an orthogonal pair? The 24 positive roots of the root systemF 4 inR 4 show that this number could exceeddk.
Keywords:
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