Geodesic
On certain Coxeter lattices without perfect sections
Journal of Algebraic Combinatorics, Tome 20 (2004) no. 1, pp. 5-16.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we compute the kissing numbers of the sections of the Coxeter lattices $\mathbb A _{ n} ^{\frac n+ 12}$ mathbbA_n ^fracntext + 12 , $n$ odd, and in particular we prove that for $nge$ 7 they cannot be perfect. The proof is merely combinatorial and relies on the structure of graphs canonically attached to the sections.
Keywords: perfect lattice, kissing number, bipartite graph 
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     author = {Berg\'e, Anne-Marie},
     title = {On certain {Coxeter} lattices without perfect sections},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2004__20_1_a6/}
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Bergé, Anne-Marie. On certain Coxeter lattices without perfect sections. Journal of Algebraic Combinatorics, Tome 20 (2004) no. 1, pp. 5-16. http://geodesic.mathdoc.fr/item/JAC_2004__20_1_a6/