Answered: Consider the following problem on a…

Consider the following problem on a dictionary of n words, W1 ... Wn, each with exactly k characters. You can transform a word W; into word W;if they differ in at most d

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

Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.

Question

Consider the following problem on a dictionary of n words, W1... Wn, each with
exactly k characters. You can transform a word W; into word W;if they differ in at
most d <k characters. (both d and k are specified as part of the input, along with
n and the words) For example, if the dictionary is W1 = 'hiť, W2 = 'cog', W3= 'hot',
W4 = 'dot', Ws = 'dog', W6 = 'lot, W7 = 'log', and d = 1, one way to change 'hiť to
'cog' is: 'hit' → 'hot → 'dot → 'dog' → 'cog'. We want to find the fewest number
of steps to transform Wito W2.
5a. Formulate this problem as a shortest path problem.
5b. Describe an algorithm for finding the minimum number of steps (you only
need to describe how to find the number of steps, not the sequence of
transformations). estimate the time efficiency.

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