Homework Answers
Answer:
a)
True, if instead of looking for the smallest edge weight we will start to choose the largest edge weight to form a spanning tree then the resulting tree will be a maximum-weight tree.
b)
Yes, this is also true. Since all the component of the graph will have the minimal spanning tree which in result will produce the minimum-weight maximal forest.
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Can Kruskal's algorithm be adapted to find (a) a maximum-weight tree in a weighted connected graph?...
Use Kruskal's algorithm to find a minimum weight spanning tree. What is the total cost of this spanning tree?
7. MINIMUM WEIGHT SPANNING TREES (a) Use Kruskal's algorithm to find a minimum weight spanning tree. What is the total cost of this spanning tree?(b) The graph below represents the cost in thousands of dollars to connect nearby towns with high speed, fiber optic cable. Use Kruskal's algorithm to find a minimum weight spanning tree. What is the total cost of this spanning tree?
Use Kruskal's algorithm (Algorithm 4.2) to find a minimum spanning tree for the graph in Exercise 2.
Use Kruskal's algorithm (Algorithm 4.2) to find a minimum spanning tree for the graph in Exercise 2. Show the actions step by step.
Using the graph below, create a minimum cost spanning tree using Kruskal's Algorithm and report it's total weight.
Using the graph below, create a minimum cost spanning tree using Kruskal's Algorithm and report it's total weight. The Spanning Tree has a total Weight of _______
Use Kruskals Algorithm to find the minimum spanning tree for the weighted graph. Give the total weight of the minimum spanning tree.
Use Kruskals Algorithm to find the minimum spanning tree for the weighted graph. Give the total weight of the minimum spanning tree. What is the total weight of the minimum spanning tree? The total weight is _______
Question 3 Apply Kruskal's algorithm to find Minimum Spanning Tree for the following graph. (In the...
Question 3 Apply Kruskal's algorithm to find Minimum Spanning Tree for the following graph. (In the final exam, you might be asked about Prim's algorithm or both). Weight of edge(1,2) = 10 Weight of edge(2,4)= 5 Weight of edge(6,4)=10 Weight of edge(1,4) = 20 Weight of edge(2,3) = 3 Weight of edge(6,5)= 3 Weight of edge(1,6) = 2 Weight of edge(3,5) = 15 Weight of edge(4,5)= 11
Use Prim's algorithm to solve the minimum weight spanning tree problem for the following graph.
1. Use Prim's algorithm to solve the minimum weight spanning tree problem for the following graph.2. Use Kruskal's algorithm to solve the minimum weight spanning tree problem for the following graph.
The weights of edges in a graph are shown in the table above. Find the minimum cost spanning tree on the graph above using Kruskal's algorithm.
The weights of edges in a graph are shown in the table above. Find the minimum cost spanning tree on the graph above using Kruskal's algorithm. What is the total cost of the tree?
Use Kruskal's algorithm to find a minimum spanning tree for the graph. Indicate the order in which edges are added to form the tree.
Use Kruskal's algorithm to find a minimum spanning tree for the graph. Indicate the order in which edges are added to form the tree. In what order were the edges added? (Enter your answer as a comma-separated list of sets.)
Use Prim's algorithm to find a minimum spanning tree for the following graph
2. Use Prim's algorithm to find a minimum spanning tree for the following graph 3. Use Kruskal's algorithm to find a minimum spanning tree for the graph given in question.
6 (4 points): 4 3 2 1 0 Use Kruskal's algorithm to find the minimum spanning tree for the graph G...
6 (4 points): 4 3 2 1 0 Use Kruskal's algorithm to find the minimum spanning tree for the graph G defined by V(G) E(G) a, b, c, d, e ac, ad, ae, be, bd, be Vo(ad) = (a, d) (ae) a, e (be) b,e) using the weight function f : E(G)Rgiven by f(ac)-(ad)-3 f(ae)-2 f(be) =4 f(bd) = 5 f(be) = 3
6 (4 points): 4 3 2 1 0 Use Kruskal's algorithm to find the minimum spanning tree...
Use Kruskal's algorithm (Algorithm 4.2) to find a minimum spanning tree for the graph in Exercise 2. Show the actions step by step.
Question 3 Apply Kruskal's algorithm to find Minimum Spanning Tree for the following graph. (In the final exam, you might be asked about Prim's algorithm or both). Weight of edge(1,2) = 10 Weight of edge(2,4)= 5 Weight of edge(6,4)=10 Weight of edge(1,4) = 20 Weight of edge(2,3) = 3 Weight of edge(6,5)= 3 Weight of edge(1,6) = 2 Weight of edge(3,5) = 15 Weight of edge(4,5)= 11
6 (4 points): 4 3 2 1 0 Use Kruskal's algorithm to find the minimum spanning tree for the graph G defined by V(G) E(G) a, b, c, d, e ac, ad, ae, be, bd, be Vo(ad) = (a, d) (ae) a, e (be) b,e) using the weight function f : E(G)Rgiven by f(ac)-(ad)-3 f(ae)-2 f(be) =4 f(bd) = 5 f(be) = 3
6 (4 points): 4 3 2 1 0 Use Kruskal's algorithm to find the minimum spanning tree...
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