The State Board of Education shall have the authority to establish regulations for the operation of sections 10-226a to 10-226e, inclusive, including times and procedures for reports to said board, and the criteria for approval of plans to correct racial imbalance and fix standards for determination as to racial imbalance. Such regulations shall include voluntary enrollment plans approved by the State Board of Education as an alternative to mandatory pupil reassignment, allowance for diverse schools existing in school districts with minority enrollments of fifty per cent or more and require equitable allocation of resources within any cited school districts.