Combining Breadth-First and Depth-First Strategies in Searching for Treewidth

For these algorithms, use of a suboptimal elimination order leads to inefficiency, and improving Breadth-first and depth-first search are basic search an elimination order by even small amount can result in strategies upon which many other search algorithms large computational savings. Solving the treewidth problem are built. In this paper, we describe an approach exactly, and finding an optimal elimination order, allows these to integrating these two strategies in a single algorithms to run as efficiently as possible.