Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex A to vertexH. Write your answer a a sequence of nodes separated by commas (no blank spaces) starting with the source node: What's the weight of the shortest path? 15 10 8. 10 15 10 12 14

Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex A to vertexH. Write your answer a a sequence of nodes separated by commas (no blank spaces) starting with the source node: What's the weight of the shortest path? 15 10 8. 10 15 10 12 14

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: Consider the graph below. Use Prim's algorithm to find a minimal spanning tree of the graph rooted…

Q: (d) Based on the graph below, show the steps for Dijkstra's algorithm to find the shortest paths…

A: Answers: We have to provide the detailed solution in the below Picture:

Q: Task #1: Use Dijkstra's algorithm approach to sketch the shortest path for the weighted graph below.…

Q: (A) Fill in parents and distance arrays. 10 F B 17 E G 18 15 A 14 A B. D F. G distance parents (B)…

A: With the help of Dijkstra's algorithm, we can find out the single source shortest path. In our…

Q: Explain in detail, step by step, how the shortest path algorithm would be executed on the graph…

A: Using Dijkstra's Shortest Path Algorithm. Step 1: Set the distance from a source node to itself 0,…

Q: The following is an undirected - weighted graph. Draw the minimum spanning tree using Kruskal's…

Q: Use Prim's algorithm to compute the minimum spanning tree for the weighted graph. Start the…

A: Given graph:

Q: Using the graph below, if we apply Dijkstra's algorithm to find the shortest distance between node A…

A: The answer of the following is given below.

Q: Question 17 Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex…

A: Dijkstra's algorithm is an algorithm for finding the shortest paths between nodes in a graph, which…

Q: Suppose we run DFS starting at vertex a of the graph below. Suppose the algorithm explores neighbor…

A: Solution: DFS(G) 1. for each vertex u ∈ V[G] 2. do color[u] = white 3. π[u] = Nil 4. time = 0…

Q: Consider the following graph with 9 vertices and 12 edges. d h Starting with vertex s, we can use a…

Q: Consider the graph given below. What is the shortest distance from verte A to vertex F using…

Q: Write an algorithm and Show the procedure of the algorithm for the following graph to find out the…

A: 1. In this algorithms , we choose an edge of G which has the smallest weight among the edges of G…

Q: Use depth-first search starting at vertex SS to construct a spanning tree of the graph below. If we…

A: Here in this question we have given a graph and we have asked to find the order of selecting edge…

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

Q: When Prim algorithm is applied to the following graph starting from node F, what is the final key…

A: Please find the answer to the above question below:

Q: Given a directed and weighted graph as follow: A B 15 8. 20 5 F 35 25 D E 7 00

A: Here in this question we have given a graph..and we have to shortest path from node A to all…

Q: The weights of edges in a graph are shown in the table above. Apply the nearest neighbor algorithm…

A: 1) A to B(next nearest vertex) nearest distance=5 B to E(next nearest vertex) nearest distance=15 E…

Q: Consider the following weighted undirected graph. 9 A 8. 10 11 3 14 F 16 15 G H 12 13 We would like…

Q: 50 10 F 10 40 B 20 10 20 A 80 50 (D 90 20 E 30G 20 )

A: Dijkstra's algorithm has many variants but the most common one is to find the shortest paths from…

Q: S T W X Y V U

A: Breadth-first search starting at vertex S to constructed a spanning tree of the given graph

Q: Q.No.5. 50 a) Find the shortest path from source node 1 to every other node using suitable Graph…

A: we will choose e=1,4

Q: Consider the following graph. If b is the source vertex, what is the minimum cost to reach f vertex?…

A: Answer: Move from b to g with cost 1 and from g to e with cost 4 and then from move e to f with cost…

Q: Run the Bellman-Ford Algorithm on the graph below to find the shortest path distances from the…

Q: Write an algorithm that uses an adjacency matrix, A[n][n], to determine if a graph is undirected…

A: The question is to write an algorithm to determine if a given graph is an undirected graph or not.

Q: Question 1. Find the shortest paths from a vertex with the remainder when the last digit of your…

Q: 12. Given graph K4, what edges can you remove to get a spanning tree? Give two possible solutions.…

A: According to the information given:- we have to provide two possible solution with removed edge…

Q: 4. For the graph below: NNN a. A snow plow starts at vertex 0 and must return to vertex 0 using a…

A: It will have only one repeated edge i.e. 1.

Q: Consider 2 is the starting vertices, identify the Breadth First Search traversal order of the below…

A: The breadth first search traversal

Q: In the following graph which edges form the Minimum Spanning Tree? (Use Prim's Algorithm,start from…

A: Note: Step by step explanation given below. Prim's algorithm steps: Initialize the minimum spanning…

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.…

Q: Run the Bellman-Ford Algorithm on the graph below to find the shortest path distances from the…

Q: Dijkstra's shortest path algorithm is run on the graph, starting at vertex C. 2 B E C 8, 3. 6. А D 3…

A: Answer:Dijkstra Algorithm: It basically tell us the shortest path from source path to destination…

Q: 3. (1) Replace the numbers B1, B2, B4, and B8 as you got in Question 1 in the graph below. (2) Find…

A: DIJKASTRA ALGORITHM is used to find shortest path .start from source .

Q: a) Draw an undirected graph using the vertices y, p, z, x and r, where x=last two digits of your…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Consider the following edge-weighted graph G with 9 vertices and 16 edges: 90 Q6.1 Kruskal 0 40 50…

A: A minimum spanning tree is a tree that has minimum lengths or weights on its edges hence forming a…

Q: Given the graph below, list the vertex visitation order of a depth-first search (DFS) beginning at…

Q: Give the breadth- first traversal of the graph in Figure below. Starting from vertex A C) D E) F)…

A: Breadth first search is a graph traversal algorithm that starts traversing the graph from root node…

Q: Consider the graph below: A B Show the sequences of nodes that result from a depth-first traversal…

A: Depth first traversal: It is an uninformed search technique that means we have the current…

Q: Write a program to find the shortest path between the vertex S and the vertex E from the graph given…

A: Please upvote me please. I need it badly. Please. I certainly don't know the last digit of your…

Q: Consider the following graph with 9 vertices and 12 edges. b d f h Starting with vertex s, we can…

A: Given: Starting vertex is S. Whenever we have more than one option to choose the next…

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

A: Applying dijkstra's algorithm to find the shortest path:

Q: Consider the same weighted graph G1 as the previous question. Suppose we run Dijkstra algorithm for…

A: Find the shortest paths from the source to all vertices in the provided graph given a graph and a…

Q: EXAMPLE: Suppose we want to use the A* algorithm on the graph below to find the shortest path from…

Q: For the graph below, give the order in which Dijkstra's Algorithm would visit each vertex, starting…

A: Sol. a A, B,C, F, G, H, E, D

Q: Consider the following graph with 9 vertices and 12 edges. а b d f h Starting with vertex s, we can…

A: Depth-first search is an algorithm used in data structure for traversing or searching the tree or…

Q: Suppose we run DFS starting at vertex a of the graph below. Suppose the algorithm explores neighbor…

A: DFS: It starts with the initial node of the graph or the root node , and then goes to deeper until…

Q: Please see theattached document, Please write clearly if its handwriting. Thanks

A: 5. Solved using Dijkstra's Algorithm Shortest path: a, b, e, f, h, i, d, g, c Dijkstra Algorithm…

Q: Use Prim's Algorithm starting at vertex SS to construct a minimum spanning tree of the graph below.…

Q: Show the steps of the Prim-Jarnik algorithm on the graph below, as done in class, starting with node…

A: The cost of the spanning tree is the sum of the weights of all the edges in the tree. Minimum…

Concept explainers

Minimum Spanning Tree

A spanning tree is a sub-graph of a connected, undirected graph. It has all the vertices of a graph with the minimum possible number of edges. If a vertex is skipped, then it will not be a spanning tree. The edges of a spanning tree may or may not have weights.

Question

Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex A to vertexH. Write your answer a
a sequence of nodes separated by commas (no blank spaces) starting with the source node:
What's the weight of the shortest path?
15
10
8.
10
15
10
12
14

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 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

A B C D E F A -- 32 44 33 31 34 B 32 -- 6 23 25 10 C 44 6 -- 2 58 13 D 33 23 2 -- 15 50 E 31 25 58 15 -- 5 F 34 10 13 50 5 -- The weights of edges in a graph are shown in the table above. Apply the nearest neighbor algorithm to the graph starting at vertex A. Give your answer as a list of vertices, starting and ending at vertex A. Example: ABCDEFA
Suppose you have a graph with 100 nodes and 500 edges and you want to find the shortest path between two nodes using Dijkstra's algorithm. What is the time complexity of this operation?
A mathematician applies Prim’s Algorithm to find a minimum spanning tree for the weighted graph starting at vertex D. The order of the edges picked so far is AD, AB, BE, and EF. The next edge selected when applying Prim’s Algorithm should be BF FG CG CE What is the total weight of the tree that uses the edges DE, CE, CG, FG and BF? 93 92 91 90 The tree described in problem #8 is a spanning True False
Use Prim's Algorithm starting at vertex SS to construct a minimum spanning tree of the graph below. If we tie-break alphabetically, what is the order of edges we construct our spanning tree? a. {S,T}, {S,V}, {V,Z}, {W,Z}, {Y,Z}, {W,X}, {U,Y} b. {S,T}, {S,W}, {W,Z}, {V,Z}, {Y,Z}, {W,X}, {U,Y} c. {S,T}, {V,Z}, {W,Z}, {Y,Z}, {S,V}, {W,X}, {U,Y} d. {S,T}, {S,V}, {S,W}, {V,Z}, {W,X}, {Y,Z}, {U,Y}
Recall that the degree d(u) of a node u in a graph is the number of neighbors of u. Prove the following statements. (a) In any graph, the number of nodes with odd degree must be even. (b) Every tree contains at least two nodes with degree 1. (c) If every node of a graph G has degree at least n/2, then G is connected.
Draw a tree with 14 vertices Draw a directed acyclic graph with 6 vertices and 14 edges Suppose that your computer only has enough memory to store 40000 entries. Which best graph data structure(s) – you can choose more than 1 -- should you use to store a simple undirected graph with 200 vertices, 19900 edges, and the existence of edge(u,v) is frequently asked? - Adjacency Matrix - Adjacency List - Edge List
Use depth-first search starting at vertex SS to construct a spanning tree of the graph below. If we tie-break alphabetically, what is the order of edges we construct our spanning tree? a. {S,T}, {T,X}, {W,X}, {W,Z}, {V,Z}, {X,Y}, {U,Y} b. {S,T}, {S,V}, {V,Z}, {W,Z}, {W,X}, {T,X}, {X,Y}, {U,Y} c. {S,T}, {T,X}, {W,X}, {S,V}, {V,Z}, {Y,Z}, {U,Y} d. {S,T}, {T,X}, {W,X}, {W,Z}, {V,Z}, {Z,Y}, {U,Y}
Use breadth-first search starting at vertex S to construct a spanning tree of the graph below. If we tie-break alphabetically, what is the order of edges we construct our spanning tree? a. {S,T}, {S,V}, {S,W}, {T,X}, {V,Z}, {X,Y}, {U,Y} b. {S,V}, {S,T}, {S,W}, {V,Z}, {T,X}, {Y,Z}, {U,Y} c. {S,V}, {S,W}, {S,T}, {V,Z}, {T,X}, {Y,Z}, {U,Y} d. {S,T}, {S,W}, {S,V}, {T,X}, {V,Z}, {X,Y}, {U,Y}
Given the graph below, run the Kruskal’s algorithm to find the minimum spanning tree. Show the algorithmic steps and label each edge by the order in which it was selected.
Explain the Kruskal’s shortest spanning tree algorithm with a suitable example by taking a graph with 7 vertices, 15 edges and with suitable weights for each edge.
Consider the graph below above. Use Kruskal's algorithm to find the minimum spanning tree. List the weights of the selected edges separated by commas in the order of selection.
True or false: For graphs with negative weights, one workaround to be able to use Dijkstra’s algorithm (instead of Bellman-Ford) would be to simply make all edge weights positive; for example, if the most negative weight in a graph is -8, then we can simply add +8 to all weights, compute the shortest path, then decrease all weights by -8 to return to the original graph. Select one: True False