Independence number of de Bruijn graphs

In this paper, we give several exact values of the independence number of a de Bruijn graph UB(d,D)UB(d,D) and in the other cases, we establish pertinent lower and upper bounds of this parameter. We show that asymptotically, if d   is even, the ratio of the number of vertices of a greatest independent set of UB(d,D)UB(d,D) is 12.