On Certain Coxeter Lattices Without Perfect Sections |
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| Authors: | Anne-Marie Bergé |
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| Affiliation: | (1) Laboratoire A2X, Mathématiques, Université, Bordeaux 1, 351, cours de la Libération, 33405 TALENCE Cedex, France |
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| Abstract: | In this paper, we compute the kissing numbers of the sections of the Coxeter lattices  , n odd, and in particular we prove that for n  7 they cannot be perfect. The proof is merely combinatorial and relies on the structure of graphs canonically attached to the sections. |
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| Keywords: | perfect lattice kissing number bipartite graph |
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