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Top tree

A top tree is a data structure based on a binary tree for unrooted dynamic trees that is used mainly for various path-related operations. It allows simple divide-and-conquer algorithms. It has since been augmented to maintain dynamically various properties of a tree such as diameter, center and median.

Applications, Interesting Results and Applications & Implementation

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Explore the main themes, entities and connections around Top tree. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

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Topics to explore

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Overview

Introduction

Interesting Results and Applications

Implementation

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Top tree

Nodes22
Edges21
Triples144
Avg. degree1.91
Density0.090909
Components1

How this topic connects Entity context

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Top tree

Top relations

related to References · 44
Top tree → ACM, ACM Transactions, Addison-Wesley, Algorithms, Alstrup, Augmenting Data Structures, Binary Search Trees, Chapters, Charles, Clifford Stein, Computer Programming, Cormen, Fundamental Algorithms, Introduction, ISBN, Issue, Jacob Holm, Journal, July, Knuth
has application · 22
Top tree → Cut, Expose, Finally, For, GOLDBERG ET AL, If, In, It, Link, Median, Merge, Proof, Queries, SLEATOR AND TARJAN, Some, Split, The, The Center, This, We
related to Dynamic Operations · 17
Top tree → Cut, Expose, External Boundary Vertices, Forest Updates, If, Is, It, Link, Re, Removes, Root, T1, T2, The, Tv, Tw, Where
related to Implementation · 16
Top tree → After, Alstrup, Amortized, Frederickson's Topology Trees, Fully Dynamic Trees, Jacob Holm, Kristian, Lichtenberg, Maintaining Information, Multilevel Partition, On, Sleator-Tarjan, Technical Report, Top, Top Trees, Top-trees
related to External links · 12
Top tree → Adjusting Top Trees, Alstrup, Fully Dynamic Trees, Holm, Maintaining Information, Proc, Rotenberg, Ryhl, SoDA, Tarjan, Top Trees, Werneck
related to Using Multilevel Partitioning · 10
Top tree → Any, Cluster Partition Tree CPT, CPT, CPTP, If, Only, Re, There, This, We
related to Non local search · 9
Top tree → Choose, If, Internal, It, Search, Sometimes, The, There, User
related to Internal Operations · 5
Top tree → Internal Operations, It, The, The Forest, Updates
related to Introduction · 5
Top tree → Binary, Dynamic, Re, The, Top
is a · 1
Top tree → data structure based on a binary tree for unrooted dynamic trees that is used mainly for various path-related operations

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

displaystyle mathcal tree cluster top path edge trees clusters vertices boundary time log two called set vertex dynamic operations weight

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Top treeis adata structure based on a binary tree for unrooted dynamic trees that is used mainly for various path-related operations0.90text
diameterinstance ofIt has since been augmented to maintain dynamically various properties of a tree0.80text
centerinstance ofIt has since been augmented to maintain dynamically various properties of a tree0.80text
median.A top tree ℜinstance ofIt has since been augmented to maintain dynamically various properties of a tree0.80text
Top treehas applicationSome0.60section
Top treehas applicationSLEATOR AND TARJAN0.60section
Top treehas applicationWe0.60section
Top treehas applicationProof0.60section
Top treehas applicationIt0.60section
Top treehas applicationWhen0.60section
Top treehas applicationIf0.60section
Top treehas applicationExpose0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

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    Min side: 3
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