Exercise 2. We have seen that Dijkstra's algorithm can be implemented in two ways: Variant (a) uses an array to store the dist] values of the unknown nodes, and Variant (b) uses a MIN-HEAP to store these values. (a) Suppose in your application m <3n. Which variant gives a faster runtime? Justify your answer. (b) Suppose in your application m2 n²/3. Which variant gives a faster runtime? Justify your answer.

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
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Exercise 2.
We have seen that Dijkstra's algorithm can be implemented in two ways: Variant (a)
uses an array to store the dist[] values of the unknown nodes, and Variant (b) uses a
MIN-HEAP to store these values.
(a) Suppose in your application m <3n. Which variant gives a faster runtime? Justify
your answer.
(b) Suppose in your application m 2 n²/3. Which variant gives a faster runtime? Justify
your answer.
Transcribed Image Text:Exercise 2. We have seen that Dijkstra's algorithm can be implemented in two ways: Variant (a) uses an array to store the dist[] values of the unknown nodes, and Variant (b) uses a MIN-HEAP to store these values. (a) Suppose in your application m <3n. Which variant gives a faster runtime? Justify your answer. (b) Suppose in your application m 2 n²/3. Which variant gives a faster runtime? Justify your answer.
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