Statements (22)
Predicate | Object |
---|---|
gptkbp:instanceOf |
Graph Theory Concept
|
gptkbp:alsoKnownAs |
gptkb:Hamiltonian_Cycle
|
gptkbp:application |
gptkb:Traveling_Salesman_Problem
|
gptkbp:definedIn |
A cycle in a graph that visits each vertex exactly once and returns to the starting vertex
|
gptkbp:example |
gptkb:Dodecahedron_Graph
gptkb:Icosahedron_Graph |
https://www.w3.org/2000/01/rdf-schema#label |
Hamiltonian Circuit
|
gptkbp:namedAfter |
gptkb:William_Rowan_Hamilton
|
gptkbp:NP-complete |
gptkb:Decision_Problem
|
gptkbp:property |
Exists only in certain graphs
Not every graph has a Hamiltonian circuit Every complete graph with more than two vertices has a Hamiltonian circuit |
gptkbp:relatedTo |
gptkb:Hamiltonian_Path
Eulerian Circuit |
gptkbp:studiedBy |
19th Century
|
gptkbp:studiedIn |
gptkb:Graph_Theory
Combinatorics |
gptkbp:usedIn |
Scheduling
Network Design Circuit Design |
gptkbp:bfsParent |
gptkb:Hamiltonian_Cycle
|
gptkbp:bfsLayer |
7
|