Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Polytree

In mathematics, and more specifically in graph theory, a polytree (also called directed tree, oriented tree or singly connected network) is a directed acyclic graph whose underlying undirected graph is a tree. In other words, a polytree is formed by assigning an orientation to each edge of a connected and acyclic undirected graph.

Applications, Related structures & Sumner's conjecture

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

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

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Related structures

Enumeration

  • OEIS On-Line Encyclopedia of Integer Sequences

Sumner's conjecture

Applications

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

Polytree

Nodes33
Edges32
Triples103
Avg. degree1.94
Density0.060606
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Polytree

Top relations

related to References · 88
Polytree → ACM-SIAM Symposium, Annual Conference, Applications, Artificial Intelligence, Association, August, Axen, BF00563523, Carr, Combinatorial Theory, Combinatorics, Computer Science, Computing, Computing Machinery, Conference, Daniela, David, Deo, Deryk, Discrete Algorithms
has application · 4
Polytree → Bayesian, If, Polytrees, The
related to Related structures · 4
Polytree → An, Every, If, The
is a · 3
Polytree → arborescence.A multitree is a directed acyclic graph in which the subgraph reachable from any node forms a tree, example of an oriented graph.The term polytree was coined in 1987 by Rebane and Pearl, multitree.The reachability relationship among the nodes of a polytree forms a partial order that has order dimension at most three
related to Sumner's conjecture · 3
Polytree → Although, David Sumner, Sumner's
related to Enumeration · 1
Polytree → The

Important terminology Word statistics

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

Important terminology

graph acyclic tree directed oriented undirected mr doi theory underlying also connected pearl every proc pp pdf 10 edges 1987

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Polytreeis aexample of an oriented graph.The term polytree was coined in 1987 by Rebane and Pearl0.90text
Polytreeis aarborescence.A multitree is a directed acyclic graph in which the subgraph reachable from any node forms a tree0.90text
Polytreeis amultitree.The reachability relationship among the nodes of a polytree forms a partial order that has order dimension at most three0.90text
Polytreehas applicationPolytrees0.60section
Polytreehas applicationIf0.60section
Polytreehas applicationBayesian0.60section
Polytreehas applicationThe0.60section
Polytreerelated to EnumerationThe0.60section
Polytreerelated to ReferencesLock-green0.60section
Polytreerelated to ReferencesLock-gray-alt-20.60section
Polytreerelated to ReferencesLock-red-alt-20.60section
Polytreerelated to ReferencesWikisource-logo0.60section

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

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.