Open AccessOn 2-skeleta of hypercubes
Author(s) -
Paul C. Kainen
Publication year - 2020
Publication title -
the art of discrete and applied mathematics
Language(s) - English
Resource type - Journals
ISSN - 2590-9770
DOI - 10.26493/2590-9770.1302.f4e
Subject(s) - hypercube , combinatorics , torus , mathematics , geometry
It is shown that the 2-skeleton of the odd-d-dimensional hypercube can be decomposed into sd spheres and τd tori, where sd = (d − 1)2d − 4 and τd is asymptotically in the range (64/9)2d − 7 to (d − 1)(d − 3)2d − 7.
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