## Graph Analysis for Minimum Spanning Tree (MST)Refer to the graph below to answer the following questions:### Graph DescriptionThe graph presents a network of nodes connected by edges, with each edge labeled with a numerical weight. The nodes are labeled A through H, and the edges have the following weights:- Edge A - C: 4- Edge A - B: 5- Edge B - D: 3- Edge C - D: 2- Edge C - E: 5- Edge D - F: 4- Edge D - G: 6- Edge E - F: 5- Edge F - H: 3- Edge G - H: 1### Questions**53. Using Kruskal’s Algorithm, the last edge to be added in finding the MST would be:**A. (A,B)B. (B,D)C. (C,D)D. (F,E)**54. What is the cost of the minimum spanning tree?**A. 15B. 17C. 20D. 21### Detailed Graph Explanation- The graph shows nodes A to H connected by edges which are labeled with weights representing the cost to traverse from one node to another.- The primary objective is to determine the minimum spanning tree (MST) using Kruskal’s Algorithm.- Kruskal’s Algorithm involves sorting all the edges in the graph in ascending order by weight and then adding the smallest edge to the MST, ensuring that no cycles are formed, until all nodes are connected.### Solving the QuestionsFor question 53, the last edge to be added in the process of forming the MST using Kruskal’s Algorithm is sought.For question 54, the total cost of the MST is calculated by summing the weights of all the edges included in the MST.

Solution - In the given question, we have to tell about the last edge added in the MST and the cost…

Answered: ing Kruskal's Algorithm, the last edge…

Engineering

Computer Science

ing Kruskal's Algorithm, the last edge to be added in finding the MST

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: Give an algorithm to check whether a given undirected graph has cycles of odd length. The length of…

A: Give an algorithm to check whether a given undirected graph has cycles of odd length. The length of…

Q: Solving the organization of the matches of a tournament resembles the (parallel) selection…

A: Explanation : The tournament structure that is most similar to the hill-climbing algorithm is a…

Q: Explain Bresenham's line algorithm and writhe steps for line gaining points (20, 10) and (30, 18).

A: given - Explain Bresenham's line algorithm and writhe steps for line gaining points (20, 10) and…

Q: Use Bellman-Ford algorithm to find the shortest path from s to every other vertex. The given order…

A: function bellmanFord(G, S) for each vertex V in G distance[V] <- infinite previous[V]…

Q: Am i correct to assume that the possible outcomes for the algorithm of topological Sorting are:…

A: Topological sorting of given Graph

Q: how to get the single source shortest path problem for a directed weighted graph using Dijkstra’s…

A: Code is given below :

Q: weights presented on the graph to your Kean ID digits. For example, if the first digit of your Kean…

A: a. draw graph using kleene id and find out minimum weight b. draw using prims algorithm and find out…

Q: Any-Segment-Intersect() is an algorithm that checks whether any pair of n given line segments…

A: Note :- Below i explain the answer in my own words by which you understand it well. In this…

Q: Thanks for the help. This explaines a good bit. I understand the part about omega(n), since that…

A: An algorithm can be defined as it is a system used for solving a problem or acting in a computation.…

Q: Find the best match. Definition for "source" is Definition for "sink" is Definition for "edge…

A: In the maximum flow algorithm, it contains the terms source, sink and edge capacity which are used…

Q: Find out key value of vertex v2 for prims algorithm if current key values of vertices v1 & v2 are 3…

A: Prim's algorithm is used to find the minimum spanning tree. The idea is to start at a random node…

Q: ) Suppose that we performed the algorithm SELECT on 83 elements using 3-2. groups of 5 elements, and…

A: Let the 133 elements be 1,2,3,4,.....,83 Making these 83 elements as groups of 5 elements. S0…

Q: Which of the following is true about prim’s algorithm for MST ? a.It must starts from

A: Prim's algorithm is used for finding minimum spanning tree. Here we start from a node. The node can…

Q: Edge Classification. When Depth-First algorithm is applied on graphs, it is possible to have Back,…

A: The above question is solved in step 2 :- This is graph data structure based question.

Q: The tutor mentioned there can be wrong results using the Dijkstra algorithm. I font really…

A: Below is the complete explanation about Why Dijkstra algorithm lead to wrong results when in the…

Q: Represent the Following Graph by Using Adjacency Matrix Method Edge List Method

A: Please refer to the following steps for the complete solution of the problem above.

Q: Enhance the Python-coded Luby MIS algorithm by randomly choosing a vertex, determining its…

A: Input: graph (dictionary representing the graph with vertices and their neighbors)1. Initialize an…

Q: Which of the following statements hold? (Choose all that apply, but for each explain why it holds or…

A: Anaswer is 4

Q: It is known that the Dijkstra’s algorithms performs very well for finding the shortest path between…

A: Dijkstra’s algorithms : This algorithm is for single source shortest path which is one of the most…

Q: Since i think i unuderstand the basic explanation but cant really use it. Can u explain why the…

A: Check the answer below.

Q: Write a Python script for each that will apply the algorithm to any given zero-one matrix. Attached…

A: #python script to apply the given algorithmdef floydWarshall(numOfVertices, graph): distance =…

Q: for each vertex v in Graph: dist[v] := infinity previous[v] := undefined dist[source] := 0 Q := the…

A: The correct option is Dijkstra Algorithm.

Q: 14 9 10 15 3. 2.

A: PRIMS ALGORITHM: 1)Remove the parallel edges or loops in the graph. 2) Start with any vertex. 3)…

Q: (3) Use truth tables to determine whether the following set of sentences is consistent. { (K ·…

A: Given: use truth tables to determine whether the following set of sentences is consistent.

Q: Improve Luby's Python-coded MIS method by randomly picking a vertex, locating its neighbours, and…

A: Below is the complete solution with explanation in detail for the given question about improving the…

Q: 55 34 29 43 E 33 45 21 50 B 26 75 Find the total weights using edge-picking algorithm. D

A: Start with an empty set to hold the MST edges.Mark the edge with the smallest weight (minimum cost)…

Q: 110 E 108 21 56 18 46 208 J 29 A 78 16 G 56 96 20 112 40 20 H 62 90 F

A: Using Dijkstra's algorithm on the given diagram to find minimum time and route from A to J

Q: would you choose to run dijkstra's SSSP algorithm on a graph that has one or more negative weight…

A: Choose to run Dijkstra's SSSP algorithm on a graph that has one or more negative weight edges.

Q: In The Steepest-Ascent Hill-Climbing Algorithm, find the Augmentation Path with the Biggest Smallest…

A: INTRODUCTION: A local search algorithm, known as the "hill climbing algorithm," advances continually…

Q: Polycarp accepts that a bunch of k sections is acceptable in case there is a fragment [li,ri]…

A: Here have to determine about the Treasure of The Segments programming problem statement.

Q: Consider the undirected graphs represented by the following adjacency matrices. Which statement is…

A: Every edge of a graph is used exactly once in an Euler path. Every edge of a graph is used exactly…

Q: For the one-dimensional version of the closest-pair problem, i.e., for the problem of finding two…

A: According to the information given:- We have to design and determine divide-and-conquer technique,…

Q: Know the difference between A* and Dijkstra's algorithm (pp. 241-243)

A: Dijkstra's algorithm is a greedy algorithm that works on graphs with non-negative edge weights. It…

Q: How would you modify the Rabin-Karp algorithm to determine whether any of a subset of k patterns…

A: The following stages can be used to adapt the Rabin-Karp algorithm to check if any subset of k…

Q: Give the result of running Kruskal's algorithm on this edge sequence (specify the order in which the…

A: Answer MST: 1. edge sequence: (y,x), (x,t), (x,w), (r,s),(t,u),(u,v) 2. edge (s,y) is the edge cut…

Q: O O 1 2 L 2 3 4 0 0 1 1 000 1 3 100 1 4 1 11 0 1 23 1 0111 1001 3 1001 4 1110 4 1 2 3 4 1 0011 2…

A: An adjacency matrix is a square matrix that represents a finite graph. The rows and columns of the…

Q: You are given a coordinated chart of n vertices and m edges. Vertices are numbered from 1 to n.…

A: Here have to determine about the Graph Transpositions programming problem statement.

Q: do an import to wolfram mathematica and do the following 1. order them from largest to smallest 2…

A: Assuming you have a csv file of the table data=ImportCSVToDataset["path_to_file.csv"] OUT:…

Q: Consider the following edge-weighted graph & with 9 vertices 40 60 90 0 50- 80 130- 110 70 S 150 30…

A: ans is given below

Q: The above order is wrong. Edge (r, y) should come after (t, u) and before (u, v) Edge ry is shown…

A: Answer: We have explain each and every point with steps in brief explanation and also we have draw…

Q: Apply Floyd's algorithm to the following graph. Write D6 matrix as your answer. 2 3 2 2 2

A: Floyd warshall algorithm is used to find the shortest path between all pairs of the vertices. Given…

Q: Consider the following edge-weighted graph G with 9 vertices and 16 40 60 90 50 70 20 30 80 S 10 130…

A: Steps: 1. Sort all the edges in non-decreasing order of their weight. 2. Pick the smallest edge.…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

How to Finding the Augmentation Path with the Biggest Smallest Edge:
Provide the MST generated using Kruskal's algorithm showing the order with which edges were added in and show the overall weight
The Art of Programming Provide an explanation for the Boundary-Control-Entity (BCE) strategy and an illustration of its application.
Correct answer will upvoted else downvoted. You are given a coordinated chart G which can contain circles (edges from a vertex to itself). Multi-edges are missing in G which implies that for every single arranged pair (u,v) exists all things considered one edge from u to v. Vertices are numbered from 1 to n. A way from u to v is a grouping of edges to such an extent that: vertex u is the beginning of the principal edge in the way; vertex v is the finish of the last edge in the way; for all sets of neighboring edges next edge begins at the vertex that the past edge finishes on. We will expect that the unfilled succession of edges is a way from one u to another. For every vertex v output one of four qualities: 0, in case there are no ways from 1 to v; 1, in case there is just a single way from 1 to v; 2, in case there is more than one way from 1 to v and the number of ways is limited; −1, if the number of ways from 1 to v is endless. Input :The first…
Please explain it ASAP. I will give you positive response. Thanks
Improve Luby’s MIS algorithm coded in Python by selecting a vertex at random,finding its neighbors and then finding the vertex with the minimum assignedrandom value to be included in the MIS.
Write a program to find the maximum sum of 7-Item-SubArray-Pair in given 2D-Array.For example, in the following 2D-Array, the maximum sum of 7-Item-SubArray-Pair is highlighted withred selected area, which is the same like this pattern and maximum/largest sum of this selected redarea is 19. Problem Explanation:The naive solution for this problem is to check every possible 7-Item-SubArray-Pair-Pattern in the given2D-Array. Actually there are many pattern of 7-Item-SubArray-Pair in the given 2D-Array.Maximum sum of 7-Item-Pair should be from 3x3 Sub-Array of the given 2D-Array. Total 16 pair of 3x3Sub-Array is following below:
Implement Queens algorithm: pre-cond: C = 1, c1, 2, c2, ... , r, cr places the jth queen in the jth row and the cjth column. The remaining rows have no queen.post-cond: Returned if possible is a placement optSol of the n queens consistent with this initial placement of the first r queens. A placement is legal if no two queens can capture each other. Whether this is possible is flagged with optCost equal to one or zero.
Following this algorithm logic, suppose we remove the modified edge like in the image. We use an edge not in T, but this forms a cycle (cannot be MST). How is this algorithm correct?
Mark Zuckerberg, the CEO of Facebook, has hired you to lead the Facebook Algorithms Group. He has asked you to use various graph algorithms to analyze the world's largest social network. The Facebook Graph has 2.8 billion vertices, with each vertex being a Facebook user. Two vertices are connected provided those two users are "friends". The first decision you need to make is how you want to model the Facebook graph. Determine whether you should use an adjacency-list representation or an adjacency-matrix representation.
Follow up again :) https://www.bartleby.com/questions-and-answers/3-4-6.-8/6b78b8f5-63a0-42d4-be51-e6dd04511dde dont really understand the answer: the 4 has no incoming edges as well, so shouldnt be there like outcomings of the algorithm that have the 4 in front? Can you list me all possible outcomings of the topolgic sorting algorithm on the graph?
Using the Dijkstra’s Algorithm, determine the shortest path from a to z. Present the solution in a table