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4.Given a graph G: a Give the order in which nodes are traversed with DFS Give...
Question 3 (4 marks) For the directed graph below, list the order in which the nine...
Question 3 (4 marks) For the directed graph below, list the order in which the nine nodes are visited during a depth-first (DFS) traversal, as well as the order in which they are visited during a breadth first (BFS) traversal. As always, assume that any ties are resolved by taking nodes in alphabetical order. Write the answers in the boxes given g DFS sequence BFS sequence
1. In BFS (or DFS), there is an for-loop that invokes the sub-routine bfs (G, s) (dfs(G,s)) Given...
1. In BFS (or DFS), there is an for-loop that invokes the sub-routine bfs (G, s) (dfs(G,s)) Given an undirected graph of n nodes and m edges. If the sub-routine bfs(G, s) (dfs (G,s)) is called k times from BFS (or DFS), how many breadth-first (depth-first) trees have been con- structed? How many edges are there in this forest of breadth-first (depth-first) trees?
1. In BFS (or DFS), there is an for-loop that invokes the sub-routine bfs (G, s) (dfs(G,s))...
3. Show the BFS& DFS traversal order of the following graph 4 BFS Traversal Order: GFE...
3. Show the BFS& DFS traversal order of the following graph 4 BFS Traversal Order: GFE DCE DFS Traversal Order 4. Given a 0/1 Knapsack of 5 objects, (Capacity M=11), value-6, 4,7, 2, 3), weig 4 36. 1 Snecify the highest yaluel combination of objects that can fit in the
A digraph has 6 nodes A-F, neighbors are always kept in alpha order. DFS(A) produces a visit order of A,B,E,C,F,D while DFS(B) produces visit order B,E,C,F. Name 2 nodes that must be neighbors of nod...
A digraph has 6 nodes A-F, neighbors are always kept in alpha order. DFS(A) produces a visit order of A,B,E,C,F,D while DFS(B) produces visit order B,E,C,F. Name 2 nodes that must be neighbors of node A. (10 points) 3.
A digraph has 6 nodes A-F, neighbors are always kept in alpha order. DFS(A) produces a visit order of A,B,E,C,F,D while DFS(B) produces visit order B,E,C,F. Name 2 nodes that must be neighbors of node A. (10 points) 3.
3. Given a directed graph G < V E >, we define its transpose Gr < V.E1 > to be the graph such tha...
3. Given a directed graph G < V E >, we define its transpose Gr < V.E1 > to be the graph such that ET-{ < v, u >:< u, v >EE). In other words, GT has the same number of edges as in G, but the directions of the edges are reversed. Draw the transpose of the following graph: ta Perform DFS on the original graph G, and write down the start and finish times for each vertex in...
3.3. Run the DFS-based topological ordering algorithm on the following graph. Whenever you have a...
3.3. Run the DFS-based topological ordering algorithm on the following graph. Whenever you have a choice of vertices to explore, always pick the one that is alphabetically first. (a) Indicate the pre and post numbers of the nodes. (b) What are the sources and sinks of the graph? (c) What topological ordering is found by the algorithm? (d) How many topological orderings does this graph have?
3.3. Run the DFS-based topological ordering algorithm on the following graph. Whenever you have...
1 Graph Search Consider the following graph G. 1.1 Draw the DFS tree for G when...
1 Graph Search Consider the following graph G. 1.1 Draw the DFS tree for G when starting in node 0. Assume that the adjacency lists are sorted in increasing order. Write the discovery and finish times for each node in the area marked by"_/_" next to each node. Solution:
Problem 1: Given a graph G (V,E) a subset U S V of nodes is called...
Problem 1: Given a graph G (V,E) a subset U S V of nodes is called a node cover if each edge in E is adjacent to at least one node in U. Given a graph, we do not know how to find the minimum node cover in an efficient manner. But if we restriet G to be a tree, then it is possible. Give a greedy algorithm that finds the minimum node cover for a tree. Analyze its correctness...
Execute DFS on the graph below, starting in node a. Whenever you have a choice which...
Execute DFS on the graph below, starting in node a. Whenever you have a choice which vertex to visit next, choose the next vertex in the adjacency list of the vertex (e.g., when you have reached node e, you must first try to visit node f, then g, and then . Indicate the outcome of the algorithm by labeling the edges of the graph either as T (tree edge) F (forward edge), B (back edge), or C (cross edge). Label...
please I need it urgent thanks algorithms second picture is the graph 2.3 Graphs and BFS-DFS...
please I need it urgent thanks algorithms second
picture is the graph
2.3 Graphs and BFS-DFS 5 points each I. Draw the adjacency matrix for the graph A on the last page. 2. Show the order in which a breadth first traversal will print out the vertices? Assume that if the algorithm has a choice of which vertex to visit, it visits the vertex with the lower number. 3. Find a topological ordering for the graph B on the last...
Question 3 (4 marks) For the directed graph below, list the order in which the nine nodes are visited during a depth-first (DFS) traversal, as well as the order in which they are visited during a breadth first (BFS) traversal. As always, assume that any ties are resolved by taking nodes in alphabetical order. Write the answers in the boxes given g DFS sequence BFS sequence
1. In BFS (or DFS), there is an for-loop that invokes the sub-routine bfs (G, s) (dfs(G,s)) Given an undirected graph of n nodes and m edges. If the sub-routine bfs(G, s) (dfs (G,s)) is called k times from BFS (or DFS), how many breadth-first (depth-first) trees have been con- structed? How many edges are there in this forest of breadth-first (depth-first) trees?
1. In BFS (or DFS), there is an for-loop that invokes the sub-routine bfs (G, s) (dfs(G,s))...
3. Show the BFS& DFS traversal order of the following graph 4 BFS Traversal Order: GFE DCE DFS Traversal Order 4. Given a 0/1 Knapsack of 5 objects, (Capacity M=11), value-6, 4,7, 2, 3), weig 4 36. 1 Snecify the highest yaluel combination of objects that can fit in the
A digraph has 6 nodes A-F, neighbors are always kept in alpha order. DFS(A) produces a visit order of A,B,E,C,F,D while DFS(B) produces visit order B,E,C,F. Name 2 nodes that must be neighbors of node A. (10 points) 3.
A digraph has 6 nodes A-F, neighbors are always kept in alpha order. DFS(A) produces a visit order of A,B,E,C,F,D while DFS(B) produces visit order B,E,C,F. Name 2 nodes that must be neighbors of node A. (10 points) 3.
3. Given a directed graph G < V E >, we define its transpose Gr < V.E1 > to be the graph such that ET-{ < v, u >:< u, v >EE). In other words, GT has the same number of edges as in G, but the directions of the edges are reversed. Draw the transpose of the following graph: ta Perform DFS on the original graph G, and write down the start and finish times for each vertex in...
3.3. Run the DFS-based topological ordering algorithm on the following graph. Whenever you have a choice of vertices to explore, always pick the one that is alphabetically first. (a) Indicate the pre and post numbers of the nodes. (b) What are the sources and sinks of the graph? (c) What topological ordering is found by the algorithm? (d) How many topological orderings does this graph have?
3.3. Run the DFS-based topological ordering algorithm on the following graph. Whenever you have...
1 Graph Search Consider the following graph G. 1.1 Draw the DFS tree for G when starting in node 0. Assume that the adjacency lists are sorted in increasing order. Write the discovery and finish times for each node in the area marked by"_/_" next to each node. Solution:
Problem 1: Given a graph G (V,E) a subset U S V of nodes is called a node cover if each edge in E is adjacent to at least one node in U. Given a graph, we do not know how to find the minimum node cover in an efficient manner. But if we restriet G to be a tree, then it is possible. Give a greedy algorithm that finds the minimum node cover for a tree. Analyze its correctness...
Execute DFS on the graph below, starting in node a. Whenever you have a choice which vertex to visit next, choose the next vertex in the adjacency list of the vertex (e.g., when you have reached node e, you must first try to visit node f, then g, and then . Indicate the outcome of the algorithm by labeling the edges of the graph either as T (tree edge) F (forward edge), B (back edge), or C (cross edge). Label...
please I need it urgent thanks algorithms second
picture is the graph
2.3 Graphs and BFS-DFS 5 points each I. Draw the adjacency matrix for the graph A on the last page. 2. Show the order in which a breadth first traversal will print out the vertices? Assume that if the algorithm has a choice of which vertex to visit, it visits the vertex with the lower number. 3. Find a topological ordering for the graph B on the last...
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