[Parallel structures in multidimensional networks].
What restrictions does the space dimension impose on a variety of multidimensional regular networks? The parallel representation method is used to answer this question. An analytical relation of regular network dimension with the connectivity of vertices and the perimeter of elementary contours has been established. It has also been shown that a infinite dimensional network is equivalent to an infinite tree. In addition, the problem of closed regular polytops inside networks is discussed.
Smolianinov
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D021621:Imaging, Three-Dimensional / Q000379:methods*; D008962:Models, Theoretical; D018561:Space Simulation