I'm thinking about cutting ties with a friend.
Why would you cut ties with a  friend?
He's unattractive, he stinks of sweat and he had bad breath.
Friends are generally accepting of one another. It's wrong to cut friends off without any explanation. You should talk to him and explain your issues.
I don't care about him.
It is wrong to abandon your friends. They could be totally unaware of their hygiene issues. It would be good to talk and tell them the truth and see if they can be helped.