4. (15%) Use Dijkstra's algorithm to solve the SSSP problem for the following graph. Illustrate each step by marking each growing edge and labeling each vertex-v (v- (b,c,d.ef) with its updated shortest distance d(v) from the source vertex a in the circle. The first step is already shown in (a). Continue from (b). You may or may not show steps in the way as in the textbook Page 336.

4. (15%) Use Dijkstra's algorithm to solve the SSSP problem for the following graph. Illustrate each step by marking each growing edge and labeling each vertex-v (v- (b,c,d.ef) with its updated shortest distance d(v) from the source vertex a in the circle. The first step is already shown in (a). Continue from (b). You may or may not show steps in the way as in the textbook Page 336.

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

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Similar questions

The following table(picture) presents the implementation of the Dijkstra algorithm on the evaluated graph G with 8 vertices. Reconstruct all edges of the graph G from the first 5 rows of the Dijkstra algorithm.
(a) Let G be a simple undirected graph with 18 vertices and 53 edges such that the degreesof G are only 3 and 7. Suppose there are a vertices of degree 7 and b vertices ofdegree 3. Find a and b. To receive any credit for this problem you must write completesentences, explain all of your work, and not leave out any details. problem 1, continued(b) Recall that a graph G is said to be k-regular if and only if every vertex in G has degreek. Draw all 3-regular simple graphs with 12 edges (mutually non-isomorphic). Hint:there are six of them. To receive credit for this problem, you should explain, as well aspossible, why all of your graphs are mutually non-isomorphic.
2.Design an algorithm based on depth-first search to determine if a graph is bipartite and if it is not return an odd length cycle in 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
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.
Please, I want a correct solution to all paragraphs. The solution must be in text format and not handwritten Course name: computer drawing Question 3: A graph G has order 24 and size 72. The degree of each vertex is 3, 6 or 9. There are 6 vertices of degree six. How many vertices of degree 3 and 9?
PROBLEM 2. Let G be an undirected graph whose vertices are the integers 1 through 8, and let the adjacent vertices of each vertex be given by the table below: Assume that, in a traversal of G, the adjacent vertices of a given vertex are returned in the same order as they are listed in the table above.a. Draw G.b. Give the sequence of vertices of G visited using a DFS traversal starting at vertex 1.c. Give the sequence of vertices visited using a BFS traversal starting at vertex 1.
problem 22.4-3 on page 615 of the text – Also implement your algorithm in C++. You should have a graph class (graph.h and graph.cpp).
The following is a graph theory problem: Suppose we have a graph A = (X, Y) and a subgraph of A, which is expressed as B = (x, y). x is an element of X and y is an element of Y. A subgraph is plainly described as a graph obtained from A by removing vertices &/or edges. For every following statement determine whether it is true or false. Explain or provide counterexample. Be careful when answering the following questions to leave edges that have their endpoints in B. (i) If A is connected then B is connected (and vice versa: If B... then A) (ii) If A is simple graph then B is simple graph (and vice versa: If B... then A) (iii) If A contains a cycle then B contains a cycle (and vice versa: If B... then A) (iv) If A is a tree then B is a tree (and vice versa: If B... then A)
The following table(picture) presents the implementation of the Dijkstra algorithm on the evaluated graph G with 8 vertices. What do the symbols (0, {a}) and (∞, {x}) in first row mean?
Computer Science This question has 3 sub-questions: What is the running time of the Bellman-Ford algorithm when the input graph of n vertices and m edges is given by its (i) adjacency matrix? (ii) adjacency lists?(iii) Discuss possible preference with circumstance
A) show the discovery and finishing times of d and pi values that result from running breadth-first search on this following graph using vertex 0 as source —————————————— Part B ASSUME THe DEPTH-FIRST SEARCH PROCEDURE CONSIDERS THE VERTICES IN NUMERICAL ORDER, ANd EACH ADJACENCY LIST Is ALREADY ORAdERED NUMERICALLY B) show the discovering and finishing times for each vertex, write the classification of each edge for the depth-first search, and show the parenthesis structure of the depth-first search