Connectivity of certain simplicial complexes associated to a handlebody

In this paper, we prove three simplicial complexes associate to a handlebody, which are separating disk complex, half disk complex and disk pants graph, are connected.Science Foundation of China University of Petroleum, Beijing [2462015YJRC034, 2462015YQ0604]; NSFC [11271058]SCI(E)ARTICLEguoqilong1984@hotmail.com; liuqing1989930@163.com112