Rutilo Moreno

most citedBlocks in cycles and k-commuting permutations

6 citations · 6 across the 1 of their papers we have counts for

collaborators

2 papers

math.CO2013★ 6 cited

Blocks in cycles and k-commuting permutations

Rutilo Moreno, Luis Manuel Rivera

Let $k$ be a nonnegative integer, and let $α$ and $β$ be two permutations of $n$ symbols. We say that $α$ and $β$ $k$ -commute if $H (α β, β α) = k$ , where $H$ denotes the Hamming metric…

math.CO2010

On the number of mth roots of permutations

Jesús Leaños, Rutilo Moreno, Luis Manuel Rivera-Martínez

Let m be a fixed positive integer. It is well-known that a permutation $σ$ may have one, many, or no mth roots. In this note we provide an explicit expression and a generating func…