Lowest Common Ancestor (Lowest Common Ancestor)

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Revision as of 10:22, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Lowest Common Ancestor (Lowest Common Ancestor)}} == Description == Given a collection of rooted trees, answer queries of the form, "What is the nearest common ancestor of vertices $x$ and $y$?" == Related Problems == Subproblem: Off-Line Lowest Common Ancestor, Lowest Common Ancestor with Static Trees, Lowest Common Ancestor with Linking Roots, Lowest Common Ancestor with Linking, Lowest Common Ancestors with Linking and Cutting...")
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Description

Given a collection of rooted trees, answer queries of the form, "What is the nearest common ancestor of vertices $x$ and $y$?"

Related Problems

Subproblem: Off-Line Lowest Common Ancestor, Lowest Common Ancestor with Static Trees, Lowest Common Ancestor with Linking Roots, Lowest Common Ancestor with Linking, Lowest Common Ancestors with Linking and Cutting

Related: Lowest Common Ancestor with Static Trees, Lowest Common Ancestor with Linking Roots, Lowest Common Ancestor with Linking, Lowest Common Ancestors with Linking and Cutting

Parameters

n: number of vertices
m: number of total number of operations (queries, links, and cuts)

Table of Algorithms

Currently no algorithms in our database for the given problem.

Time Complexity graph

Lowest Common Ancestor - Time.png

Space Complexity graph

Lowest Common Ancestor - Space.png

Pareto Decades graph

Lowest Common Ancestor - Pareto Frontier.png