The Mayor shall be the chief conservator of peace within the City.  He shall have power to appoint and have power to remove the Director of Public Service-Safety, and shall have such other powers and shall perform such other duties as are conferred and required by law.
(ORC 733.03)
   The Mayor shall perform all the duties prescribed by the bylaws and ordinances of the City.  He shall see that all ordinances, bylaws and resolutions of Council are faithfully obeyed and enforced.  He shall sign all licenses and permits granted by authority of Council, such commissions as are required by law and such other instruments as, by law or ordinance, may require his certificate.
(ORC 733.30)