The Hempstead school district increased security Tuesday in response to the stabbings of three teenagers in Hempstead Lake State Park, and State Park Police likewise have boosted patrols, officials said.

The victims were stabbed about 3:10 p.m. Monday while walking along a path in the park near Hempstead High School, authorities said. No arrests have been made. Two of the victims have been released from the hospital and one remains, officials said.

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“The Hempstead Union Free School District is saddened about yesterday’s acts of violence, outside our schools, in Hempstead Lake State Park,” Mike Fricchione, a district spokesman, said in a prepared statement. “As a precaution, the school district has indefinitely beefed up its security presence in and around the high school and is offering special guidance and grief counseling to students who may have known any of the victims. Our hearts go out to those who have been affected as we assist local law enforcement to ensure that those responsible are brought to justice.”

State Park Police continued Tuesday with their investigation, a spokesman said.

“Park Police have increased patrols in Hempstead Lake State Park following the incident,” New York State Office of Parks, Recreation & Historic Preservation spokesman Randy Simons said in an email. “Two 16-year-old victims were treated for stab wounds and released Thursday from area hospitals. A third 18-year-old victim is in stable condition at Nassau County Medical Center [Nassau University Medical Center].

He said State Police and Nassau County police are assisting in the investigation.

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News 12 Long Island, quoting unnamed sources, reported Monday evening the group of teens who attacked the three victims used knives and a machete. As many as six attackers may have been involved, the station reported.