Disjoint Sets are a data structure for keeping track of associations among items in a larger system. a) In Disjoint Sets, we have the option of using two techniques: union by rank and path compression. What are the benefits of union by rank? What are the benefits of path compression? b) Assume you have a Disjoint Set instance which is logically represented as the following set of trees. Show how this set could be represented in the following sets array (table below), assuming union by rank.
Disjoint Sets are a data structure for keeping track of associations among items in a larger system. a) In Disjoint Sets, we have the option of using two techniques: union by rank and path compression. What are the benefits of union by rank? What are the benefits of path compression? b) Assume you have a Disjoint Set instance which is logically represented as the following set of trees. Show how this set could be represented in the following sets array (table below), assuming union by rank.
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
Related questions
Question
Question 17
Answer the following consolidated question a) and b)
Disjoint Sets are a data structure for keeping track of associations among items in a larger system.
a) In Disjoint Sets, we have the option of using two techniques: union by rank and path compression. What are the benefits of union by rank? What are the benefits of path compression?
b) Assume you have a Disjoint Set instance which is logically represented as the following set of trees. Show how this set could be represented in the following sets array (table below), assuming union by rank.
Transcribed Image Text:b) Assume you have a Disjoint Set instance which is logically represented as the following set of
trees. Show how this set could be represented in the following sets array (table below), assuming
union by rank.
index:
sets:
0
3
1
5
2
7
3
1
4
5
8
6
2
7
8
9
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education