MADISON, Wis. (AP) -- The slaying of a college student in a downtown neighborhood frequented by beggars has forced Madison to ask the difficult question of whether it's been too nice to the homeless.

The killing of University of Wisconsin student Brittany Zimmermann last week has started something of a backlash against the homeless.

Police have arrested dozens of transients on unrelated charges as part of the investigation.

But none are considered suspects in the death.

The city also announced plans this week to confront problems at nearby Brittingham Park, where the homeless congregate, although those efforts were in the works before the murder.

Changes include installation of surveillance cameras and increased lighting.

The scrutiny is unusual in a city that allows homeless people to congregate every day in the Capitol basement and offers free meals there on Sundays.

Zimmermann was slain in her apartment in a neighborhood where homeless people often went door-to-door looking for cash.

Police Lieutenant Joe Balles says Madison's welcoming attitude has attracted more homeless people and some beggars are becoming increasingly aggressive.