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

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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.

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Note: In tracing the algorithm, if at any time you encounter more than one vertex with minimal cost, you must finalize the first one
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