N.Y. ACG Law § 156

§ 156. Deputy county executive. 1. The board of supervisors shall have\npower to authorize the county executive to appoint one or more deputy\ncounty executives. Every appointment of a deputy county executive shall\nbe in writing filed and recorded in the office of the county clerk. Any\nsuch appointment may be revoked by the county executive at any time by\nfiling a written revocation in the office of the county clerk.\n 2. A deputy county executive shall perform such duties pertaining to\nthe office as may be directed by the county executive.\n 3. The deputy designated by the county executive for the purpose shall\nhave the powers and perform the duties of the county executive during\nhis absence or disability.\n 4. If more than one deputy county executive shall be appointed, the\ncounty executive shall designate in writing and file in the office of\nthe county clerk and clerk of the board of supervisors the order in\nwhich such deputies shall exercise the powers and duties of the office\nin the event of the absence or inability of such county executive to\nperform the duties of the office.\n 5. The head of any department may be designated to serve as deputy\ncounty executive but without additional compensation. In the event that\nno deputy county executive has been appointed or designated, or in the\nevent that the deputy appointed or person so designated is unable to\nserve, the board of supervisors shall designate the head of a department\nor other qualified person to perform the duties of the office during the\nabsence or inability of the county executive.\n