Neb. Rev. Stat. § 34-103

Every person liable to contribute to the construction and maintenance of a division fence or any portion thereof shall maintain his or her portion in good repair, including the necessary removal or trimming of trees and woody growth within or encroaching upon the fenceline to repair or avoid damage to, or dislocation of, the division fence. The occurrence of trees and woody growth within or encroaching upon a division fence that causes damage to, or dislocation of, the fence shall constitute a private nuisance to the adjacent landowner's possessory interests in his or her land.