5 Let T be a tree with n positions. Define the lowest common ancestor (LCA) between two positions p and q as the lowest position in T that has both p and 9 as descendants (where we allow a position to be a descendant of itself). Given two positions p and q, describe an efficient algorithm for finding the LCA of p and q. What is the running time of your algorithm?

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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C-8.55 Let T be a tree with n positions. Define the lowest common ancestor (LCA)
between two positions p and q as the lowest position in T that has both P and q
as descendants (where we allow a position to be a descendant of itself). Given
two positions p and q, describe an efficient algorithm for finding the LCA of p
and q. What is the running time of your algorithm?
Transcribed Image Text:C-8.55 Let T be a tree with n positions. Define the lowest common ancestor (LCA) between two positions p and q as the lowest position in T that has both P and q as descendants (where we allow a position to be a descendant of itself). Given two positions p and q, describe an efficient algorithm for finding the LCA of p and q. What is the running time of your algorithm?
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