Some states do have a lane splitting law which basically applies to all vehicles (bicycles, motorcycles, cars, etc.). Also many state's statute's also specifically require bicycles to ride single file, except when passing. So if not specifically mentioned in the bicycle clauses of your state vehicle code/law, it may be mentioned in the general vehicle code/law.

In Nebraska it appears that your Statute, specifically Ch.60-6,317 MAY addresses this issue:
http://uniweb.legislature.ne.gov/Leg...ge=s6006317000

The statute's language uses the terms "roadway" and "highway" in different parts. Specifically, Ch.60-6,317(1) uses the term: "roadway" but is silent as to single file lane use. However, Ch.60-6,317(2) uses the term "highway" and limits bikes to single file riding. I am not going to look it up, maybe someone else can pipe in as to the differences between the two terms.

It also appears that Ch.60-6,317(4) authorizes "local rule" as pertaining to bicycle use. So Lincoln itself may, by city ordinance, have rules that regulate bicycle use and operation.

HTH
zac

EDIT:
While I am sure other sites exist, here is a pretty good site with links to various state codes, laws, statutes regarding vehicle and bicycle law.

http://www.massbike.org/bikelaw/statelaws.htm