That's not single parent household issues, its a problem of mothers who happen to be single parents, there is a difference
When you say single parent (which really means women) can't show her child what authority is, that is crazy to me. Authority is Authority regardless of gender. The only time a child won't respect a certain gender's authority is because of something between the parents. A woman who instills a child to not respect male authority is a man hater, and the child issues come from that, not single parent households.
A lot of women are single parents, but not by choice, then there are women who CAN'T be in relationships due to how they are as people, so they become single parents. Unfortunately, that means all those issues that made her not be able to maintain a relationship will express itself in her children. Hating male authority would be the first thing seen because the mother would express her hate of the childs father, and the child will feel that towards other males if the mother has the same attitude towards other males in their environment. I seen this growing up, I just never understood it until i got older.
The child is basically an extension of the mother. Its hard to find a woman like that in two parent homes, but there are some men who take that shyt, these men tend to be "just there", and the mother is the main power in the household