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On Classification of k-Dimension Paths in n-Cube

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DOI: 10.4236/am.2014.54069    6,784 Downloads   7,840 Views   Citations

ABSTRACT

The shortest k-dimension paths (k-paths) between vertices of n-cube are considered on the basis a bijective mapping of k-faces into words over a finite alphabet. The presentation of such paths is proposed as (nk + 1)×n matrix of characters from the same alphabet. A classification of the paths is founded on numerical invariant as special partition. The partition consists of n parts, which correspond to columns of the matrix.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Ryabov, G. and Serov, V. (2014) On Classification of k-Dimension Paths in n-Cube. Applied Mathematics, 5, 723-727. doi: 10.4236/am.2014.54069.

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