On the domination number of 2-dimensional torus graphs

The domination number of them×n torus graph is denoted by γ(Cm Cn). Here, an algorithm based on dynamic programming is presented which can be used to determine γ(Cm Cn) as a function of n when m is fixed. The value of γ(Cm Cn) has previously been determined for m ≤ 10 and arbitrary n. These results are here extended to m ≤ 20 and arbitrary n.