United Airlines will begin new service between six of its domestic hubs and eight destinations in California, Ohio, North Dakota, South Dakota, Virginia and Wisconsin. The new flights, starting June 7, offer customers hundreds of connection opportunities across the carrier’s route network. New year-round routes include the following: Chicago to Bismarck, N.D.; Denver to Appleton, Wis., and Norfolk, Va.; Houston to Akron/Canton and Dayton, Ohio; Los Angeles to Eureka, Calif.; and San Francisco to Madison, Wis. The airline will also offer what it says is the only nonstop flight between New York (Newark) and Rapid City, S.D., beginning June 23 and running through the summer.