Nebraska Revised Statute 17-110
Chapter 17 Section 110
Mayor; general duties and powers.
The mayor shall preside at all meetings of the city council of a city of the second class. The mayor may vote when his or her vote would provide the additional vote required to attain the number of votes equal to a majority of the number of members elected to the city council on any pending matter, legislation, or transaction, and the mayor shall, for the purpose of such vote, be deemed to be a member of the city council. He or she shall have superintendence and control of all the officers and affairs of the city and shall take care that the ordinances of the city and all laws governing cities of the second class are complied with.
The mayor has no power to suspend the operation of an ordinance which contains no provision in itself empowering him so to do. Pulver v. State, 83 Neb. 446, 119 N.W. 780 (1909).
The mayor and council have power to compromise and settle claims against the city. State ex rel. Fuller v. Martin, 27 Neb. 441, 43 N.W. 244 (1889).