On 2-skeleta of hypercubes

  • Paul C. Kainen Georgetown University, United States
Keywords: Cube decomposition, even-degree 2-complex, generalized book

Abstract

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.

Author Biography

Paul C. Kainen, Georgetown University, United States

Department of Mathematics and Statistics,

Associate Professor

Published
2020-08-10
Section
Articles