The council shall make all regulations which it considers needful or desirable, not inconsistent with this charter or the laws of the State of Texas, for the conduct of municipal elections, for the prevention of fraud in such elections and for the recount of ballots in case of doubt or fraud. Municipal elections shall be conducted by the appointed election authorities, who shall also have power to make such regulations not inconsistent with this charter, with any regulations made by the council or the laws of the State of Texas.