W. Bentz

activity

20122026

collaborators

Showing 2016Show all

2 papers · 1 filter

math.CO2016

Optimal Packings of 22 and 33 Unit Squares in a Square

Wolfram Bentz

Let $s (n)$ be the side length of the smallest square into which $n$ non-overlapping unit squares can be packed. In 2010, the author showed that $s (13) = 4$ and $s (46) = 7$ . Together wi…

math.GR2016

Congruences on Direct Products of Transformation and Matrix Monoids

João Araújo, Wolfram Bentz, Gracinda Gomes

Malcev described the congruences of the monoid $T_{n}$ of all full transformations on a finite set $X_{n} = {1, \dots, n}$ . Since then, congruences have been characterized in various ot…