@article {IOPORT.06113008, author = {Hu, Futao and Xu, Jun-Ming}, title = {Bondage number of mesh networks.}, year = {2012}, journal = {Frontiers of Mathematics in China}, volume = {7}, number = {5}, issn = {1673-3452}, pages = {813-826}, publisher = {Higher Education Press, Beijing; Springer, Heidelberg}, doi = {10.1007/s11464-012-0173-x}, abstract = {Summary: The bondage number $b(G)$ of a nonempty graph $G$ is the smallest number of edges whose removal from $G$ results in a graph with domination number greater than that of $G$. Denote $P_n \times P_m$ the Cartesian product of two paths $P_n$ and $P_m$. This paper determines the exact values of $b(P_n \times P_2), b(P_n \times P_3)$, and $b(P_n \times P_4)$ for $n \geqslant 2$.}, identifier = {06113008}, }