Документ взят из кэша поисковой машины. Адрес
оригинального документа
: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2009/v10r138.html
Дата изменения: Wed Sep 16 15:45:11 2009 Дата индексирования: Mon Oct 1 22:45:19 2012 Кодировка: ISO8859-5 |
"On the quaternary coding of cubic structures" Ryabov G.G. |
The notion of a cubant is introduced on the basis of the bijectivity between the set of all n-digital ternary codes and k-dimensional faces of the unit n-cube. The multiplication operation on cubants is defined on the alphabet {emptyset,0,1,2}. The algebraic structure (monoid) is considered to efficiently determine a number of metric and topological properties of n-dimensional cubic structures. Some perspectives of the proposed methods are discussed with respect to supercomputing. Keywords: n-cube, quaternary coding, cubant, monoid, Hausdorff metrics, Hamilton cycle, supercomputing
|
Ryabov G.G. e-mail: gen-ryabov@yandex.ru |
яЛП