Find the lowest common ancestor (LCA) of v and w given a DAG and two vertices, v and w. The LCA of v and w is a v and w ancestor who has no v and w ancestors who are also ancestors of v and w. Finding the degree of inbreeding in a pedigree graph and other applications involving genealogical data analysis and multiple inheritance in computer languages both benefit from computing the LCA. Hint: In a DAG, define the height of a vertex as the distance along the longest path from a root to the vertex. The tallest vertex among those that are both v and w's ancestors is an LCA of v and w.

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
icon
Related questions
Question

 

Find the lowest common ancestor (LCA) of v and w given a DAG and two vertices, v and w. The LCA of v and w is a v and w ancestor who has no v and w ancestors who are also ancestors of v and w. Finding the degree of inbreeding in a pedigree graph and other applications involving genealogical data analysis and multiple inheritance in computer languages both benefit from computing the LCA. Hint: In a DAG, define the height of a vertex as the distance along the longest path from a root to the vertex. The tallest vertex among those that are both v and w's ancestors is an LCA of v and w.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Single source shortest path
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.
Similar questions
Recommended textbooks for you
Database System Concepts
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)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education