Brady did not detail the violations in making the announcement Monday night.
The Virginia online court system shows Nation was cited for disorderly conduct, public swearing/intoxication and misdemeanor assault on Monday. The junior was released on his own recognizance and is due to appear in Harrisonburg General District Court on Oct. 20.
Vodanovich, a sophomore, also was charged Monday with public swearing/intoxication, disorderly conduct and purchasing or possessing alcohol.
Nation also was suspended for the first 15 games last season for a violation of athletic department policy.
Nation led the Dukes with averages of 15.4 points and 5.3 rebounds last season.
Vodanovich averaged 4.1 points and 4.1 rebounds.