a.Given the steps of Kruskal’s algorithm, analyze each loop and find its running time cost in terms of V and E. MST-KRUSKAL(G,w) A ← for each vertex v V MAKE-SET(v) sort E into non-decreasing order by w for each (u, v) taken from the sorted list if FIND-SET(u) FIND-SET(v) then A ← A {(u, v)} UNION(u, v) return A
a.Given the steps of Kruskal’s algorithm, analyze each loop and find its running time cost in terms of V and E. MST-KRUSKAL(G,w) A ← for each vertex v V MAKE-SET(v) sort E into non-decreasing order by w for each (u, v) taken from the sorted list if FIND-SET(u) FIND-SET(v) then A ← A {(u, v)} UNION(u, v) return A
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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Question
a.Given the steps of Kruskal’s
MST-KRUSKAL(G,w)
- A ←
- for each vertex v V
- MAKE-SET(v)
- sort E into non-decreasing order by w
- for each (u, v) taken from the sorted list
- if FIND-SET(u) FIND-SET(v)
- then A ← A {(u, v)}
- UNION(u, v)
- return A
b. What is the total asymptotic running time of Kruskal’s algorithm
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