if you have your child/children every other week (joint custody) and you decide to take your children on vacation of your choice and it’s your week to have them, can the other parent not allow them to go??

No, not unless there is some restriction in the court order or agreement regarding vacations. So long as the vacation does not impede the other party’s scheduled visitations it is ok.

I would very much like to hear more from you on this subject. You must know by now your article goes to the nitty-gritty of the subject.

I’m not certain which article you are referring to, but if you have a specific question about vacations, I’ll be happy to respond.