Zimbabwe's President Robert Mugabe made his first public appearance since the military put him under house arrest this week, attending a graduation ceremony to applause, even as the military announced "significant progress" on talks for his departure and arrested some of his allies.

The appearance came during an extraordinary series of negotiations with regional leaders over Mugabe's departure after 37 years in power.

Zimbabwe's military is taking pains to show respect for the 93-year-old leader, the world's oldest head of state, by referring to him as the president and the commander-in-chief. At the same time, it said Friday it was arresting and pursuing some people close to Mugabe and his wife.

Friday's graduation event appeared to allow Mugabe to project the image of leadership, even as calls for his departure grow stronger. Some Zimbabweans worried that Mugabe, the only leader many have ever known, would somehow find a way to stay on.

Mugabe didn't make a speech at the ceremony, merely announcing its opening to applause after joining the crowd in the national anthem. Arriving in suit and tie, he put on an academic gown and hat and walked slowly in a red-carpet procession to a podium as a marching band played.

The military statement reported by the state-run Herald newspaper and Zimbabwe Broadcasting Corporation said military leaders are "engaging with the Commander-in-Chief President Robert Mugabe on the way forward and will advise the nation of the outcome as soon as possible."

"Significant progress has been made in their operation to weed out criminals around President Mugabe," the statement said, adding that the military had arrested some while others remained at large. Those sought had been "committing crimes that were causing social and economic suffering in Zimbabwe."

The military is seeking Cabinet ministers and other top officials who had been associates of first lady Grace Mugabe, part of a clique dubbed the G40 because many were in their 40s and 50s. They are of a different generation from the one that fought for independence from white minority rule.

Grace Mugabe's rapid political rise had alarmed many who feared she could succeed her husband after he fired his longtime deputy, Emmerson Mnangagwa, last week. That firing set off the military's moves, and Mnangagwa is expected to lead any new government. There was no sign of the first lady at Friday's graduation ceremony.