![]() ![]() ![]() What is the time complexity of your solution to part (b)?ĭ. Show that the network flow problem can be used to solve the bipartite matching problem.ĭ. A topological sort takes a directed acyclic graph and produces a linear ordering of all its vertices such that if the graph G G G contains an edge ( v, w ) (v. If no instructor is required to teach more than one course, and only one instructor may teach a given course, what is the maximum number of courses that can be offered?Ĭ. Show how the bipartite matching problem can be used to solve the following problem: We have a set of instructors, a set of courses, and a list of courses that each instructor is qualified to teach. There is a matching of five edges, which is maximum. A matching of four edges (indicated by dashed edges) is shown in earlier Figure. Action 'o': Pop an element from the stack and enqueue it in the queue. The bipartite matching problem is to find the largest subset E' of E such that no vertex is included in more than one edge. Topological sorting for Directed Acyclic Graph (DAG) is a linear ordering of vertices such that for every directed edge uv, vertex u comes before v in the ordering. Action 'x': Dequeue an element from the queue and push it to the stack. Give a linear algorithm to determine whether a graph is bipartite.ī. A bipartite graph, G = ( V, E ) G = (V, E) G = ( V, E ), is a graph such that V can be partitioned into two subsets V 1 V_1 V 1 and V 2 V_2 V 2 and no edge has both its vertices in the same subset.Ī. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |