Consider the following graph: A В 2 4 Start with node s and apply the Dijkstra’s algorithm step by step. (a) Show the priority queue at each step of traversing a node. (b) Also, show final paths from node 's' to every other reachable node. 5

Consider the following graph: A В 2 4 Start with node s and apply the Dijkstra’s algorithm step by step. (a) Show the priority queue at each step of traversing a node. (b) Also, show final paths from node 's' to every other reachable node. 5

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

Heuristic System

The term heuristic is derived from the Greek word heurisko, which means “I find, discover”. Heuristics can be mental shortcuts or approaches designed from previous experiences. The main aim of the heuristic approach is to find a good enough solution to solve the problem. Test and mistake, rule of thumb, or an educated estimate are all examples of heuristics. These methods are sufficient for achieving an immediate, brief aim. When a heuristic is used in practice, it works as predicted. It can, however, produce systematic errors. Trial and error is an important heuristic that may be used in a variety of situations, from cross-linking nuts and bolts to determining the values of given input variables in mathematical puzzles. Additional hypotheses, visual illustrations, simplification, and forward or backward reasoning are all common heuristics in mathematics.

Question

Consider the following graph:
1
A
B
3
2
2
1
C
D
4
Start with node s and apply the Dijkstra's algorithm step by step.
(a) Show the priority queue at each step of traversing a node.
(b) Also, show final paths from node 's' to every other reachable node.
(Hint: first solve by hand by dry running the algorithm and noting down queue contents, and then write
the solution on computer)

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