Two complaints have been received, one by students of Kalka Dental College and Hospital and the other by Bajrang Dal activists, police said.
The right wing activists have demanded their arrest, police said, adding a probe has been launched.
The administration of the college, located in Partapur area, has said that a committee has been constituted to probe the incident.
Meanwhile, some Kashmiri students, including girls, were reported to have left their hostel.
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Police are taking the matter seriously, the ADG said, adding they along with the Local Investigation Unit (LIU) are working on the case.
As of now, a case has been registered by the police and further action would be taken only after initial inquiry.
The principal of the college told the press that a committee has been formed to probe the matter and if the students are found guilty, stern action will be taken against them.