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Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:graph |
| gptkbp:hasProperty |
infinite number of vertices
no cycles |
| gptkbp:hasSpecialCase |
gptkb:Bethe_lattice
|
| gptkbp:hasVertexDegree |
k (for k-regular Cayley tree)
|
| gptkbp:isA |
gptkb:tree_(graph_theory)
connected acyclic graph infinite tree |
| gptkbp:namedAfter |
gptkb:Arthur_Cayley
|
| gptkbp:relatedTo |
gptkb:Weyl_group
gptkb:free_group |
| gptkbp:usedFor |
modeling hierarchical structures
studying phase transitions |
| gptkbp:usedIn |
gptkb:Ising_model
gptkb:percolation_theory gptkb:statistical_mechanics mathematical physics |
| gptkbp:bfsParent |
gptkb:Bethe_lattice
|
| gptkbp:bfsLayer |
4
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cayley tree
|