Alaska Stat. § 25.24.152
(a) In an action for divorce, dissolution, or to declare a marriage void, the court may not unconditionally grant to a noncustodial parent the right to claim a child as a dependent under federal income tax laws. The court may grant a noncustodial parent the right to claim a child as a dependent under federal tax laws for a tax year if the noncustodial parent satisfies the requirements of federal law and was not in arrears at the end of the tax year in an amount more than four times the monthly obligation under