%0 Journal Article
%T Results on permutations with distinct difference property
%A Jordan Bell
%A Qiang Wang
%J Contributions to Discrete Mathematics
%D 2009
%I University of Calgary
%X We prove that for all odd primes $p$ and positive integers $alpha geq 2$, a construction of Batten and Sane yields at least $(p-1)^3/4$ permutations with a distinct difference property (DDP) of ${1,2,ldots,p^alpha-1}$. This proves a conjecture of Batten and Sane, that at least $(p-1)^2/2$ such permutations exist. We also pose several research questions for DDP permutations.
%U http://cdm.math.ucalgary.ca/cdm/index.php/cdm/article/view/147