@article {IOPORT.05846182, author = {Huang, Yi and Chen, Meirun}, title = {Lower and upper orientable strong radius and diameter of Cartesian product of paths.}, year = {2009}, journal = {Journal of Xinjiang University. Natural Science}, volume = {26}, number = {1}, issn = {1000-2839}, pages = {33-37}, publisher = {Publishing House of Xinjiang University, Urumqi}, abstract = {Summary: For two vertices $u$ and $v$ in a strong digraph $D$, the strong distance $sd(u, v)$ between $u$ and $v$ is the minimum size (the number of arcs) of a strong sub-digraph of $D$ containing $u$ and $v$. For a vertex $v$ of $D$, the strong eccentricity $se(v)$ is the strong distance between $v$ and a vertex farthest from $v$. The strong radius $srad(D)$ (resp., strong diameter $sdiam(D)$) is the minimum (resp., maximum) strong eccentricity among the vertices of $D$. The lower (resp., upper) orientable strong radius $srad(G)$ (resp. $SRAD(G)$) of a graph $G$ is the minimum (resp., maximum) strong radius over all strong orientations of $G$. The lower (resp., upper) orientable strong diameter $sdiam(G)$ (resp. $SDIAM(G))$ of a graph $G$ is the minimum (resp., maximum) strong diameter over all strong orientations of $G$. In this paper, we determine the lower orientable strong radius and strong diameter of the Cartesian product of paths, and give bounds on the upper orientable strong radius and a conjecture of the upper orientable strong diameter of the Cartesian product of paths.}, identifier = {05846182}, }