DAG's LCA. Get 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 an ancestor of v and w who has no offspring who are likewise v and w's ancestors. 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. An LCA of v and w has the highest height among vertices that are both ancestors 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
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DAG's LCA. Get 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 an ancestor of v and w who has no offspring who are likewise v and w's ancestors. 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. An LCA of v and w has the highest height among vertices that are both ancestors of v and w.

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