cycle (graph theory)

GPTKB entity

Statements (28)
Predicate Object
gptkbp:instanceOf graph
gptkbp:appearsIn directed graphs
undirected graphs
gptkbp:contrastsWith gptkb:tree_(graph_theory)
acyclic graph
path (graph theory)
gptkbp:definedIn a path of edges and vertices wherein a vertex is reachable from itself
gptkbp:hasApplication gptkb:mathematics
biology
chemistry
computer science
engineering
gptkbp:hasDefinitionIn undirected graph: sequence of edges forming a closed loop
directed graph: sequence of directed edges forming a closed loop
gptkbp:hasProperty closed path
no repeated edges or vertices except start/end
https://www.w3.org/2000/01/rdf-schema#label cycle (graph theory)
gptkbp:relatedTo gptkb:Hamiltonian_cycle
gptkb:Eulerian_cycle
cycle graph
simple cycle
gptkbp:studiedBy gptkb:Leonhard_Euler
graph theorists
gptkbp:usedIn network analysis
topological sorting
cycle detection algorithms
gptkbp:bfsParent gptkb:Hamiltonian_cycle
gptkbp:bfsLayer 5