# Peter T Breuer thank you so much for you  answer ;

- The feild i'm talking about is the "graph theory" and specially minimum dominating set.

- Yes i'm asking about the minimum dominating set because of its relation with networks's optimisation in general.

- Yes i already know the canonical definition of the "MDS" but i would like to know the diffrencees between the "MDS" and "MWDS" , because in network we talked a lot about "MDS" but when i i searched i found also "MWDS".

- Yes wikepedia and google gives a breif view of both but this dont replace in any case a real talk with experts in the field .

- Yes I've added "graph coloring" too in a way to attract more attention of feild expert on this question.

- No didn't get yet the diffrences between the "MDS" and "MWDS" , it will be kind of you if you could explain it.