Geodesic
On the quaternary coding of cubic structures
Numerical methods and programming, Tome 10 (2009) no. 3, pp. 340-347

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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. 
@article{VMP_2009_10_3_a8,
     author = {G. G. Ryabov},
     title = {On the quaternary coding of cubic structures},
     journal = {Numerical methods and programming},
     pages = {340--347},
     publisher = {mathdoc},
     volume = {10},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2009_10_3_a8/}
}
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G. G. Ryabov. On the quaternary coding of cubic structures. Numerical methods and programming, Tome 10 (2009) no. 3, pp. 340-347. http://geodesic.mathdoc.fr/item/VMP_2009_10_3_a8/