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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
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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High-confidence facts extracted from structured source data. Use them as anchors for further research.
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See the strongest relationship patterns around the current topic before diving into the raw triples.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
graph cycle cycles vertices directed graphs edge connected called trail length circuit space simple every one vertex undirected equal without
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| the integers | instance of | the binary cycle space generalizes to vector spaces or modules over other rings | 0.80 | text |
| rational or real numbers | instance of | the binary cycle space generalizes to vector spaces or modules over other rings | 0.80 | text |
| etc | instance of | the binary cycle space generalizes to vector spaces or modules over other rings | 0.80 | text |
These clusters group vocabulary that occurs around closely connected concepts in the source material.
Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.