Should I allow absent mother to contact my kids between her new Boyfriends?

Should I, single father of 3, allow the mother of my kids to contact my kids when she is between boyfriends? Ok, so their mother doesn't contact my kids while she is dating new men. I do mean no contact what so ever. The only time they hear from her is when she is having problems with current boyfriend, or when she is between BFs. Even then she only contacts them at minimal a few days a week. So should I continue to let her contact the kids. Mind you, I have full custody, I have all decision making rights, yet I know my kids miss her. I don't know what to do...
Should I allow absent mother to contact my kids between her new Boyfriends?
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