N.Y. Comp. Codes R. & Regs. tit. 4, § 73.2
(a) Employees.
(3) Coverage for any employee and his dependents shall cease without notice on the date of termination of his status as an employee as defined in section 73.1 of this Part. The status of any person as an employee shall be deemed to terminate upon his severance from the payroll, except that, for the purpose of continuing his coverage under the plan, the status of such person as an employee shall be deemed to continue:
(5) Notwithstanding any of the foregoing provisions of this section, if the regular work schedule of an employee has been not less than 20 hours per week for at least one year and then is reduced to less than 20 hours per week under circumstances not expressly excepted under section 73.1(c)(1) of this Part, the president may, in his discretion and upon the request of the employer, deem such person's status as an employee to continue for a period not exceeding one year for the purpose of continuing his coverage under the plan. Thereafter, if the regular work schedule of such employee continues to be less than 20 hours per week, the president may, from time to time, review the case and, in his discretion, grant extensions not exceeding one year each during which such person's status as an employee may be deemed to continue.
(6)
(7) Notwithstanding any other provisions of this Part for the purpose of determining an employee's eligibility to apply accumulated but unused sick leave credits against the employee's cost of health insurance in retirement, an employee whose services are terminated on account of the abolition of positions in the State service and who retires within one year following such termination, shall be deemed to have been on leave without pay and thus eligible to have such credits applied.
(b) Continued coverage of dependents on death of employee or retired employee.
(3) Notwithstanding any other provisions of this Part, in the event of the death of an employee or retired employee on or after September 1, 1968, who was an employee of the State and/or of a political subdivision thereof for not less than 10 years and who had been a participant in any of the health insurance plans, the unremarried spouse of such deceased employee or retired employee and/or the other qualified dependents, if any, may elect in writing to continue their present health insurance coverage, provided that the election to continue such coverage and tender of a premium payment equal to one quarter of the full share annual premium is made prior to the cessation of such coverage. If the spouse has remarried at the time of the election to continue coverage or remarries at any time after the election, he or she is ineligible to continue in the plan, but the other dependents, if any, may continue in the plan as provided by this Part.
(c) Prior retirees.
Upon the extension of the plan to prior retirees of an employer, each such prior retiree shall be eligible for coverage under the plan for himself and his dependents, if any, subject to the provisions of this Part and of the appropriate contracts applicable to prior retirees and their dependents, provided he makes application for such coverage within the time specified therefor by the president.
(d) Cessation of eligibility upon termination of the plan or participation of employer.
Upon the termination of the plan by the State, or of the status of an employer as a participating employer by reason of default in the payment of charges, or by withdrawal or expulsion or otherwise, the coverage and eligibility for coverage of its employees and retired employees shall cease as of the end of the last period for which the required contributions of both employer and employee have been paid to the Health Insurance Fund.
(e) Disqualification.
The president may disqualify from participation in the health insurance plan and from receiving benefits thereunder any employee or retired employee or dependent of an employee or retired employee who has secured or attempted to secure participation in the health insurance plan or benefits under the plan for himself or another by fraud, deception or a false statement of a material fact, or who has accepted benefits for himself or another knowing he was not entitled thereto. No person shall be disqualified or denied benefits pursuant to this subdivision unless he is first given a written statement of the reasons therefor and afforded an opportunity to make an explanation and submit facts in opposition to such action. Such employee, retired employee or dependent of an employee or retired employee may be restored to eligibility for coverage under the plan only on approval of the president and subject to such conditions as may be imposed by the president, including repayment of sums expended for benefits obtained by fraud, deception or false statement of a material fact, or accepted by the employee with knowledge that he was not entitled thereto.