A Parallel Algorithm for the Spanning Forest Problem on Proper Circle Graphs

Given a simple graph G with n vertices, m edges and k connected components. The spanning forest problem is to find a spanning tree for each connected component of G. This problem has applications to the electrical power demand problem, computer network design, circuit analysis, etc. In this paper, we present an time parallel algorithm with processors for constructing a spanning forest on proper circle graph G on EREW PRAM.