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Directed graph

In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed edges, often called arcs.

Types of directed graphs, Definition & Basic terminology

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Topic orientation

Directed graph at a glance

The strongest research directions include Types of directed graphs and Definition. Use the connected concepts below as starting points, not as a keyword checklist.

Research this topic

Explore the main themes, entities and connections around Directed graph. 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

A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.

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

Overview

Definition

Types of directed graphs

Basic terminology

Indegree and outdegree

Degree sequence

Directed graph connectivity

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.

How this topic connects Entity context

Quick relationship hints grouped by predicate. Useful for spotting recurring semantic connections around the current entity.

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

Directed graph

Top relations

related to References · 32
Directed graph → Algorithms, An Introduction, Applications, Bang-Jensen, Bondy, Cartwright, Classes, Diestel, Digraphs, Directed Graphs, Dorwin, Frank, Graph Theory, Gregory, Gutin, Harary, Integer Sequences, ISBN, John Adrian, Jørgen
related to Subclasses · 18
Directed graph → As, Complete, DAG, DAGs, Every, It, Multitrees, Oriented, Quasi-transitive, Rooted, Semicomplete, Simple, Some, Such, Symmetric, The, There, Tournaments
see also · 16
Directed graph → Abstract, Algorithm, Area, Assigning, Binary, Database, Diagram, Directed, Framework, Graph Markup LanguageDRAKON, Mathematical, Node, Reflexive, Relationship, Study, Style Sheets
related to Digraphs with supplementary properties · 12
Directed graph → Commutative, Control-flow, FinVctK, FinVctKF, Flow, In, Lie, Representations, Rooted, Signal-flow, State, Weighted
related to Degree sequence · 9
Directed graph → Anstee, Chen, Fulkerson, However, Kleitman, The, This, Trailing, Wang
is a · 4
Directed graph → list of its indegree and outdegree pairs, logical matrix, ordered pair G, oriented graph if and only if it has no 2-cycle
related to Basic terminology · 3
Directed graph → An, If, The
related to Definition · 1
Directed graph → In
related to Directed graph connectivity · 1
Directed graph → The

Important terminology Word statistics

Frequent words and multi-word phrases across the lead, headings, infobox and body. Useful for terminology coverage.

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

Important terminology

directed graph graphs vertices called edges arcs digraphs vertex digraph undirected set arc oriented simple semicomplete two pairs connected arrows

Entity relationships Subject–Predicate–Object triples

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
SubjectPredicateObjectConfidenceSrc
Directed graphis aordered pair G0.90text
Directed graphis aoriented graph if and only if it has no 2-cycle0.90text
Directed graphis alogical matrix0.90text
Directed graphis alist of its indegree and outdegree pairs0.90text
Directed graphrelated to Basic terminologyAn0.60section
Directed graphrelated to Basic terminologyIf0.60section
Directed graphrelated to Basic terminologyThe0.60section
Directed graphrelated to DefinitionIn0.60section
Directed graphrelated to Degree sequenceThe0.60section
Directed graphrelated to Degree sequenceHowever0.60section
Directed graphrelated to Degree sequenceTrailing0.60section
Directed graphrelated to Degree sequenceThis0.60section

Related concept clusters Concept neighborhoods

Clusters of nearby vocabulary surrounding the topic. Scan them for adjacent concepts and language you may have missed.

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

    Connections between topic areas Semantic bridges

    Bridge nodes connect otherwise separate parts of the map. Expand a row to inspect the topic groups on each side.

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

    Map overview Semantic statistics

    Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.

    Directed graph

    Nodes65
    Edges64
    Triples96
    Avg. degree1.97
    Density0.030769
    Components1
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