A Cube-covering Problem

作者:Fan Yonghui; Miyazawa Flavio K; Zhang Yuqin*
来源:Ars Combinatoria, 2012, 106: 257-262.

摘要

We consider the problem of covering a unit cube with smaller cubes. The size of a cube is given by its side length and the size of a covering is the total size of the cubes used to cover the unit cube. We denote by g(3)(n) the smallest size of a minimal covering using n cubes. We present tight results for the upper and lower bounds of g(3)(n).