graph cycle

[/ɡræf ˈsaɪkəl/]
nounpl: graph cycles
ciclo de grafo
1. A closed path in a graph where a sequence of vertices are connected by edges, starting and ending at the same vertex, with no other vertex visited more than once
In graph theory, a graph cycle is fundamental to understanding the structure of networks.
Em teoria dos grafos, um ciclo de grafo é fundamental para entender a estrutura de redes.
2. A sequence of edges forming a closed loop in a directed or undirected graph
The algorithm detects whether a graph cycle exists in the network topology.
O algoritmo detecta se um ciclo de grafo existe na topologia da rede.
This is a technical term primarily used in computer science, mathematics, and software engineering contexts. It is universally understood across English and Portuguese-speaking academic and professional communities without regional variation. The term is essential in algorithm design, network analysis, and data structure courses in both Brazil and the United States.
Synonyms / Sinônimos
cyclecircuitclosed pathloop
Antonyms / Antônimos
acyclic graphtree

Regional Variations

General Brazilian
ciclo de grafo
Standard technical term used in computer science and mathematics education
São Paulo
ciclo de grafo
Predominant term in tech and academic sectors
Portugal
ciclo de grafo
Same as Brazilian Portuguese; consistent usage in European academic contexts

Related Words

vertexedgedirected graphundirected graphHamiltonian cycleEulerian cyclegraph theory
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