%0 Journal Article
%T Labeled Packing of Non Star Tree into its Fifth Power and Sixth Power
%A Amine El Sahili
%A Hamamache Kheddouci
%A Maidoun Mortada
%J Mathematics
%D 2013
%I arXiv
%X In this paper we prove that we can find a labeled packing of a non star tree $T$ into $T^6$ with $m_T+\lceil\frac{n-m_T}{5}\rceil$ labels, where $n$ is the number of vertices of $T$ and $m_T$ is the maximum number of leaves that can be removed from $T$ in such a way that the obtained graph is a non star tree. Also, we prove that we can find a labeled packing of a non star tree $T$ into $T^5$ with $m_T+1$ labels and a labeled packing of a path $P_n$, $n\geq 4$, into $P_n^4$ with $\lceil \frac{n}{4}\rceil$ labels.
%U http://arxiv.org/abs/1302.4219v1