Question 12Use the following graph to trace the execution of Dijkstra's algorithm as it finds the shortest path from vertex A to all the other vertices. Drawthe resulting vertex-weighted graph and use it to answer the following:(a) List the vertices of the resulting graph along with the cost of reaching each one from the starting vertex in the form:V1: Cost, V2: Cost, etc.(b) List the actual edges that are followed to obtain the costs listed in (a) above in the form:(V1, V2), (V3, V4), etc.Note: In tracing the algorithm, if at any time you encounter more than one vertex with minimal cost, you must finalize the first onealphabetically.E6.F8.hp144IOI 10 1 12140Note: In tracing the algorithm, if at any time you encounter more than one vertex with minimal cost, you must finalize the first onealphabetically.6.F2.1413107the image does not show automatically, click this link to display it.the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).ArialA14px3 IUSParagraphAAChp

Given a graph and a source vertex in the graph, find shortest paths from source to all vertices in…

Question 12 Use the following graph to trace the execution of Dijkstra's algorithm as it finds the shortest path from vertex A to all the other vertices. Dr aw the resulting vertex-weighted graph and use it to answer the following:

Question 12 Use the following graph to trace the execution of Dijkstra's algorithm as it finds the shortest path from vertex A to all the other vertices. Dr aw the resulting vertex-weighted graph and use it to answer the following:

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: Mc2 Write an algorithm to determine whether an undirected graph of |V| vertices contains a cycle.…

A: Hello

Q: 0. A grap onnected

A: For each round of the Bellman ford algorithm, the 'E' edges are relaxed. It takes the same amount of…

Q: How many spanning trees does the following graph have?

Q: For the following directed graph, 30 H 8. 21 A D E G 24 Give the shortest distances and paths from…

A: Given graph is directed graph and it is weighted graph Total of vertices with weights…

Q: Find the Minimum Spanning Tree for the given graph using Prim’s algorithm. The starting vertex is…

A: - We need to talk about using prim's algorithm on the provided graph starting with vertex A. -…

Q: 16. Use the flow graph of K; to answer the following questions. a 6/6 9/11 3/4 6/6 3/3 3/3 2/2 8/8…

A: The answer to all the parts along with their explanation is given below:

Q: Consider the following graph. 13

A: A vеrtеx sеt (or nodе sеt) is a sеt of points that rеprеsеnt thе nodеs or vеrticеs of a graph. An…

Q: Is it true or false? If it is true, include a (short, but clear) argument why it is true, and if it…

A: Given four statements and we need to find out if they are true or false.

Q: Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex 0 to vertex…

Q: F В C) I (A D G K E (H

A: Answer: Breadth First Search(BST)- Step1: select the vertex F as already given in question the…

Q: Question 18 Find the list of vertices following the breadth-first traversal of the graph below…

A: Here in this question we have given a graph with sources vertex 0.and we have asked to apply BFS…

Q: Suppose we have a graph as follows A) Show the order of visit for the vertices using Depth First…

A: Below are the answers of BFS and DFS:

Q: Problem 7: Let G be a graph in which the sum of vertex degrees is equal 30. (a) What is the smallest…

A: Here in this question we have given let there be a graph G with sum of its vertex degree is 30..so…

Q: The questions in this section refer to this edge-weighted graph: A 7 4 7 12 E

A: Dijkstra's algorithm is a powerful and widely-used algorithm for finding the shortest paths between…

Q: 10. Let G be a connected graph with n vertices. What is the minimum number of edges of G? (Your…

A: In this question, we are asked the minimum number of edges for a connected graph. I have explained…

Concept explainers

Depth First Search

Depth-first search (DFS) also known as Depth First traversal is an algorithm used to traverse or search the nodes in a tree or graph data structure. Traversal usually means visiting all the nodes of a graph. DFS performs in a depth-ward manner. It uses a stack to remember the vertices it has visited. The search starts from the root node, where any arbitrary node is selected as a root node in a graph, and then each node is explored along each branch before performing backtracking. The DFS algorithm uses a recursive technique by following the idea of backtracking. DFS algorithm does this by performing an in-depth search of all the nodes by traversing in a forward direction. If the required node is not found, it starts backtracking to previously visited nodes.

Question

10 1 12
140
Note: In tracing the algorithm, if at any time you encounter more than one vertex with minimal cost, you must finalize the first one
alphabetically.
6.
F
2.
14
13
10
7
the image does not show automatically, click this link to display it.
the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
Arial
A
14px
3 IUS
Paragraph
AAC
hp

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 4 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

What is the minimum number of 1’s in the adjacency matrix of a connected undirected graph of N vertices (without self–loops) ? How many 1’s are in the adjacency matrix of a complete graph of N vertices?
Consider through the following undirected, weight graph: 12 7 3 E 10 Step through Dijkstra's algorithm to calculate the single-source shortest paths from A to every other vertex. Show your steps in the table below. Cross out old values and write in new ones, from left to right within each cell, as the algorithm proceeds. Also list the vertices in the order which you marked them known. Finally, indicate the lowest-cast path from node A to node F. Answer should be in the format (considering Z, X, Y, W as nodes): Z. X, W, Y. Next » 2.
Let G be a graph with n vertices. If the maximum size of an independent set in G is k, clearly explain why the minimum size of a vertex cover in G is n - k.
We have the following directed graph G, where the number on each edge is the cost of the edge. 1. Step through Dijkstra’s Algorithm on the graph starting from vertex s, and complete the table below to show what the arrays d and p are at each step of the algorithm. For any vertex x, d[x] stores the current shortest distance from s to x, and p[x] stores the current parent vertex of x. 2. After you complete the table, provide the returned shortest path from s to t and the cost of the path.
A B. D H Suppose you run the topological sort algorithm on the graph above starting at vertex C. Use the rule that when there is a choice of vertices for the algorithm to visit, it visits them in alphabetic order. Which vertex would end up first in the eventual topologically sorted order? Which would end up being second? Which would end up being third? Which would end up being fourth? Which would end up being fifth? Which would end up being sixth?
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.
Explain how one can check a graph’s acyclicity by using breadth-first search.
With proper explanation else skip Proper explanation got thumbs-up