抄録
The goal of the bipartite subgraph problem, which is an NP-complete problem, is to remove the minimum number of edges in a given graph such that the remaining graph is a bipartite graph. Enlightened by the elastic net method that was introduced by Durbin and Willshaw for finding shortest route for the Traveling Salesman Problem (TSP), we proposed a new parallel algorithm for the bipartite subgraph problem. The approach jointly tends to satisfy the constraint condition and minimizes the number of removed edges. The collective computational properties of the proposed approach are also proved theoretically. A large number of instances have been simulated to verify the proposed algorithm. The simulation results show that our algorithm finds a solution superior to that of the best existing parallel algorithms.