7) a. By using Kruskal's algorithm, construct the minimal spanning tree for the following graph. Also calculate the minimal total weight. В 4 D 2 3 6. A E 7 1 F 4 b. Draw a complete graph of 7 vertices с. Define the Eulerian trail

7) a. By using Kruskal's algorithm, construct the minimal spanning tree for the following graph. Also calculate the minimal total weight. В 4 D 2 3 6. A E 7 1 F 4 b. Draw a complete graph of 7 vertices с. Define the Eulerian trail

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: 5 сл 3 3 3 0 -2 12 4 7 1 2 2 b) Determine the shortest path from vertex '0' to vertex '2' of the…

Q: 7. Consider the following graph: B A •C D (a) Write the degree of each vertex (write it next to the…

A: 7 a) Degree of vertex: Degree of a vertex is denoted by the number of the edges that are connecting…

Q: 2. a) In the following graph, apply Depth First Search algorithm to find the Strongly Connected…

A: Answer as given below:

Q: Question#3 Use the graph A above to trace the execution of Dijkstra's algorithm as it solves the…

A: Using Dijkstra's algorithm to find the shortest path of the given graph

Q: Use Prim's algorithms AND the Kruskal's algorithm to find the minimum spanning tree for the given…

A: below is the minimal spanning tree using given algorithms

Q: 1. Consider the graph below. Find the betweenness of the following edges (a) AB (b) BC (c) DE F D

A: As I have read the guidelines I can provide answers to only 1 part of the questions in case of…

Q: Problem 1 For the graph below, construct a depth-first search spanning tree rooted at vertex a. Use…

A: Let's firstly do a DFS traversal for following graph and if there will be multiple nodes to one…

Q: 4.1.7. (-) Obtain a formula for the number of spanning trees of a connected graph in terms of the…

A: Introduction: Spanning Tree: A spanning subgraph of G is a subgraph with vertex set V (G). A…

Q: 2. Consider the graph given by the following adjacency list: vertex adjacent vertex 2, 3, 4 2 3 1, 4…

A: Answer a) graph:

Q: E 3 5 A 2 D 3 For the given below graph, illustrate adjacency matrix and adjacency list. When we…

A: Here in this question we have given a graph and we have asked to find the shortest path from source…

Q: 19. Use the graph K; to answer the following questions. 6/6 9/11 3/4 6/6 3/3 3/3 2/2 8/8 1/1 b K2 a.…

A: According to the information given:- We have to identify a cycle in the graph and reduce flow in the…

Q: 1. Assume that G is a triangle-free planar graph with v vertices and e edges. Let K3,3 denotes the…

A: Here is the answer with explanation:-

Q: (a) Given the following graph G(V, E), find the shortest path from A to other vertices in the graph.…

A: here is your answer

Q: 2. Use the breadth-first algorithm to find a spanning tree for the graph in Problem 1.

Q: Draw the Depth First Search Tree of the following graph and Infer the bi-connected components of the…

A: Depth First Search(DFS): It is Uniformed search technique. It works on Stack(LIFO). It works on…

Q: By using Kruskal’s algorithm find the shortest spanning tree for the following graph: (picture)

A: Sort the sequence based on edges/ weights.

Q: 1.Apply Prim’s algorithm to the graph to obtain minimum spanning tree and show the ordering of the…

A: 1. Answer:

Q: Question 24 Consider the following undirected graph, find the the degree of the vertex B. A E C

A: Given:-

Q: Problem 3. Use both Prim's and Kruskal's algorithms to find the minimum spanning trees for each of…

A: 1) Prim's algorithm: This algorithm is used to find the minimum spanning tree from the given graph…

Q: 2. Use the Bellman-Ford algorithm to calculate the shortest paths from node A to every other node in…

A: Given : Given Graph with negative and positive weights. The task is to find the shortest path…

Q: Problem 8. (a) Find the minimum spanning tree in the graph below using Kruskal's algorithm. 8 8. 4.…

A: Answer the above questions are as follows:

Q: c) How would you generalize this idea? Suppose you are given a graph G and a particular edge {u, v}…

A: Actually, graph is a non linear data structure which consisting of edges and nodes.

Q: Problem 1. In Fig. 1 there is a weighted graph, circles represent vertices, links represent edges,…

Q: 19. Use Depth-first search AND the Breadth-first search to produce the spanning tree for the given…

A: Introduction of BFS and DFS: BFS stands for Breadth-First Search in which all neighbours are…

Q: 5. (a) Using Kruskal's method, find a minimum spanning tree of graph A (b) Using Prim's method, find…

A: Given Undirected graph contains 8 nodes from 1 to 8 and weighted edges between those vertices. Both…

Q: 7. Check whether the given graph is Bipartite or not. Explain. 2 7 4 Also construct a proper…

A: 7. A graph can be considered as bipartite if it can be colored using any two colors in such a way…

Q: Section 4: Part 1: Use the appropriate weighted graph algorithm to find the shortest paths from node…

A: Answer is given below-

Q: 6. An undirected graph G =(V, E) is shown in the figure below. Find the (i) number of vertices, (ii)…

A: Below is the complete explanation about various graph properties like Vertices Edges Degree of…

Q: A) [5] Given the order and size of a graph Gie 10 and 14 respectively. The degrees of vertices in G…

Q: 21a) Use Prim's algorithm to find a minimum spanning tree for the given weighted graph. Demonstrate…

A: Here is the solution for part a=>Prim's Algorithm

Q: 11. Consider the following graph 3 Build the adjancecy matrix and find the minimum k such that there…

A: We are given a directed graph and we are asked the adjacency matrix for it. Also we have to find the…

Q: Let G = (V, E) be a DAG with weights associated with vertices and edges. Design a Dynamic…

A: The simple solution for finding the longest path will be to calculate the length of longest from…

Q: Question 5: Consider the following graph. Find the shortest path from 'a' to all other vertices…

Q: 20. Use Prim's algorithms AND the Kruskal's algorithm to find the minimum spanning tree for the…

Q: (b) Write down the degree of each vertex in the following graph. Hence, verify the Handshaking…

Q: 18 Consider the graph given above. Use Dijkstra's algorithm to find the shortest path between I and…

Q: 3. Assume a is the value of the last digit of your student number, b=a modulus 3, c=b+2, d=b+3. Let…

A: ANSWER:-

Q: 4. (a) Use Dijkstra's algorithm to find the shortest path from node A to node G in the following…

A: Here in this multi part question we have given a graph with sources vertex A .and we have asked to…

Q: 1 2 7 3 4 a) Draw the representation of the graph as a collection of adjacency lists. b) Use…

Q: Give an algorithm that determines whether or not a given undirected graph G (V.E) contains a cycle.…

A: Below i have given program:

Q: Consider the following undirected graph, find the the degree of the vertex B. А E C D.

A: As we already know Graph is nothing but a collection of edges and nodes (vertex). The number of…

Q: [Problem 10] Run the Dijkstra's algorithm on the following directed graph and find all shortest…

Q: 4. Let G = (V, E) be a connected undirected graph. Construct a O(V+ E) algorithms that outputs a…

A: Start by doing an depth first search. The path taken by the DFS is close to the solution. All edges…

Q: 8. (a) Find the chromatic number x of the 9-vertex graph below. Explain. (b) Find the edge chromatic…

A: As per our guidelines, only 3 sub parts will be answered. So, please repost the remaining questions…

Q: (c) Let 7 be a finite tree on 2 or more vertices. Show that the average degree of the vertices in…

A: The answer is

Q: III- Draw all possible spanning trees from the following connected graph : в A

A: The graph is consists of a number of vertices and edges. It is represented as G = (V, E) where V is…

Q: Find the minimum spanning tree using Prim's algorithm for the graph Show each step as in slide 89.

A: The user can select any arbitrary node as root node. Let’s assume, the user choose “Post Office”…

Q: 5.1.3. (-) Let G₁,..., Gk be the blocks of a graph G. Prove that x (G) = max; x (G₁).

A: HI THEREI AM ADDING ANSWER BELOWPLEASE GO THROUGH ITTHANK YOU

Q: Given the graph below, find the minimal spanning tree using a.) Kruskal's algorithm b.) Prim's…

A: a. kruskals algorithm b.prims algorithm c. boruka algorithm

Q: Q8. Using the network graph from Q7, draw a) Atree b) A spanning tree

A: Here we solve each of it:…

Question

100%

7- Please I want solution of this question. Thanks

7)
a. By using Kruskal's algorithm, construct the minimal spanning tree for the following graph. Also
calculate the minimal total weight.
В
4
D
2
3
6.
A
E
1
F
4
b. Draw a complete graph of 7 vertices
C.
Define the Eulerian trail
2.

Expert Solution

Step 1

Step 2

Step 3

Step by step

Solved in 5 steps with 5 images

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

4. Find a minimal spanning tree of the weighted graph below, using(a) Kruskal's Algorithm (b) Prim's algorithm In each spanning tree show the order in which the edges have been selected by numbering them accordingly (i.e do not give the weights).
A) Develop the Adjacency Matrix. B)List the nodes of the graph in alphabetical order using method 1 of breadth-first traversal starting from vertex F. C)List the nodes of the graph in alphabetical order using method 1 of depth-firsttraversal starting from vertex F.
A) Give the depth-first traversal of the graph (). B) Give the breadth-first traversal of the graph.
1. Let G = (V, E) be a DAG with weights associated with verticesand edges. Design a Dynamic Programming Algorithm for solvingthe longest path problem.
Graph Complement and Planarity,(a) Let G be a 4-regular plane graph with 10 faces. Determine how many vertices and edges G hasand give a plane drawing of such a graph. for this problem, you must writecomplete sentences, include all details, show all of your work, and clarify all of your reasoning.
Discrete math: (a) Apply improved Dijkstra’s algorithm to the following graph to find the shortest path from A to every other vertex in the graph. (b) Apply Kruskal’s algorithm to the graph to find a minimum spanning tree.
1.Apply Prim’s algorithm to the graph to obtain minimum spanning tree and show the ordering of the edges added to obtain the minimum spanning tree. 2.Apply Kruskal Algorithm to the graph and show the ordering of edges added to obtain the minimum spanning tree.
Please solve with the computer Question 2: Draw a simple undirected graph G that has 11 vertices, 7 edges.
Use Prim's algorith to find a minimum spanning tree for the following weighted graph starting from vertex A. Draw the spanning tree.
5. How many spanning trees are can be generated from its graph? Define 2 spanning trees of Graph A and B.
For the following undirected graph (unless otherwise indicated, always visit adjacent nodes in alphabetical order.), a. Give the adjacency matrix of the graph. b.Give the depth-first traversal of the graph. c.Give the breadth-first traversal of the graph.
Planarity(b) Let G be a simple graph with exactly 11 vertices. Prove that G or its complement G must benon-planar. Hint: The maximum number of edges in a planar graph with n vertices is 3n − 6. for this problem, you must write complete sentences, including all details, showall of your work, and clarify all of your reasoning