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Cycle (graph theory)

In graph theory, a cycle in a graph is a non-empty trail in which only the first and last vertices are equal. A directed cycle in a directed graph is a non-empty directed trail in which only the first and last vertices are equal.

Covering graphs by cycle, Graph classes defined by cycle & Cycle space

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Explore the main themes, entities and connections around Cycle (graph theory). Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Chordless cycle

Cycle space

Cycle detection

Covering graphs by cycle

Graph classes defined by cycle

Advanced semantic analysis

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Map overview Semantic statistics

Cycle (graph theory)

Nodes63
Edges62
Triples3
Avg. degree1.97
Density0.031746
Components1

How this topic connects Entity context

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Important terminology Word statistics

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Important terminology

graph cycle cycles vertices directed graphs edge connected called trail length circuit space simple every one vertex undirected equal without

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the integersinstance ofthe binary cycle space generalizes to vector spaces or modules over other rings0.80text
rational or real numbersinstance ofthe binary cycle space generalizes to vector spaces or modules over other rings0.80text
etcinstance ofthe binary cycle space generalizes to vector spaces or modules over other rings0.80text

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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