What is an example of an application of a graph, in which the minimum spanning tree...
What is an example of an application of a graph, in which the minimum spanning tree would be of importance. Describe what the vertices, edges and edge weights of the graph represent. Explain why finding a minimum spanning tree for such a graph would be important.
Homework Answers
A graph application in which minimum spanning tree can be used is phone network design, suppose we have a business and there are many offices in our business, and suppose we want to lease phone lines to connect these business office with each other, also the phone company has different charges for different cities. We want to have set of lines which connects all the offices with minimum price so that the load on connecting network between offices is minimum, and this could be easily achieved using minimum spanning tree, and since if the network is not a tree we can easily remove some edges to save money.In this scenario the vertices will the offices at different locations, the edges will be the lines connecting them and the weights will be the cost associated with each line connecting different offices.
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What is an example of an application of a graph, in which the
minimum spanning tree...
1. What is the definition of a safe edge for the minimum spanning tree algorithm? 2....
1. What is the definition of a safe edge for the minimum spanning tree algorithm? 2. Give an example graph with 4 nodes and 5 edges with exactly three strongly connected components. 3. What is the running time of the Kruskal spanning tree algorithm on a graph with n nodes and n log n edges?
Please help me with this C++ I would like to create that uses a minimum spanning tree algorithm in C++. I would like the program to graph the edges with weights that are entered and will display the r...
Please help me with this C++ I would like to create that uses a minimum spanning tree algorithm in C++. I would like the program to graph the edges with weights that are entered and will display the results. The contribution of each line will speak to an undirected edge of an associated weighted chart. The edge will comprise of two unequal non-negative whole numbers in the range 0 to 99 speaking to diagram vertices that the edge interfaces. Each...
C++ programing question22 Minimum spanning tree Time limit: 1 second Problem Description For a connected undirected...
C++ programing question22
Minimum spanning tree
Time limit: 1 second
Problem Description
For a connected undirected graph G = (V, E), edge e corresponds to
a weight w, a minimum weight spaning tree can be found on the
graph.
Into trees.
Input file format
At the beginning, there will be a positive integer T, which means
that there will be T input data.
The first line of each input has two positive integers n,m,
representing n points and m edges...
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.
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Given the following weighted graph G. use Prim's algorithm to determine the Minimum-Cost Spanning Tree (MCST)...
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Considering graph B above (to the right) which includes solid and dotted edges. the solid edges...
Considering graph B above (to the right) which includes solid and dotted edges. the solid edges form a minimum spanning tree T of weight 26. Assign weights to the dotted edges such that: each edge weight is a positive integer tree T remains a minimum spanning tree and to other tree is also a minimum spanning tree of the graph each of the assigned dotted edge weights is minimal
Algorithm Question： The following questions are on minimum spanning tree. (a) Suppose we have an undirected...
Algorithm Question： The following questions are on minimum spanning tree. (a) Suppose we have an undirected graph with weights that can be either positive or negative. Do Prim’s and Kruskal’s algorithim produce a MST for such a graph? Explain. (b) Prove that for any weighted undirected graph such that the weights are distinct (no two edges have the same weight), the minimal spanning tree is unique.
Generate a minimum spanning tree for the following graph. Label all edge weights in the resulting...
Generate a minimum spanning tree for the following graph. Label all edge weights in the resulting tree and indicate the total edge weight for the tree. 9 6 G A 4 7 H 6 5 3 21 LC LO
JAVA: (29.1) The text introduced Prim’s algorithm for finding a minimum spanning tree. Kruskal’s algorithm is...
JAVA: (29.1) The text introduced Prim’s algorithm for finding a minimum spanning tree. Kruskal’s algorithm is another well-known algorithm for finding a minimum spanning tree. The algorithm repeatedly finds a minimum- weight edge and adds it to the tree if it does not cause a cycle. The process ends when all vertices are in the tree. Design and implement an algorithm for finding an MST using Kruskal’s algorithm.
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.
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C++ programing question22
Minimum spanning tree
Time limit: 1 second
Problem Description
For a connected undirected graph G = (V, E), edge e corresponds to
a weight w, a minimum weight spaning tree can be found on the
graph.
Into trees.
Input file format
At the beginning, there will be a positive integer T, which means
that there will be T input data.
The first line of each input has two positive integers n,m,
representing n points and m edges...
Given the following weighted graph G. use Prim's algorithm to determine the Minimum-Cost Spanning Tree (MCST) with node 1 as the "root". List the vertices in the order in which the algorithm adds them to the solution, along with the edge and its weight used to make the selection, one per line. Each line should look like this: add vertex y: edge = (x,y), weight = 5 When the algorithm ends there are, generally, edges left in the heap. List...
Considering graph B above (to the right) which includes solid and dotted edges. the solid edges form a minimum spanning tree T of weight 26. Assign weights to the dotted edges such that: each edge weight is a positive integer tree T remains a minimum spanning tree and to other tree is also a minimum spanning tree of the graph each of the assigned dotted edge weights is minimal
Generate a minimum spanning tree for the following graph. Label all edge weights in the resulting tree and indicate the total edge weight for the tree. 9 6 G A 4 7 H 6 5 3 21 LC LO
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