Properties (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
graph theory
|
| gptkbp:can_be |
finite groups
infinite groups adjacency matrices |
| gptkbp:constructedIn |
permutation groups
|
| gptkbp:explores |
group representations
the relationship between groups and graphs |
| gptkbp:has_a |
elements of the group G
equal to the size of the generating set S pairs of elements connected by generators |
| https://www.w3.org/2000/01/rdf-schema#label |
Cayley graph
|
| gptkbp:is_a |
vertex-transitive graph
|
| gptkbp:is_a_representation_of |
the group operation
algebraic structures the symmetry of a group |
| gptkbp:is_a_subject_of |
abstract algebra
discrete mathematics modern algebra graph theory and group theory |
| gptkbp:is_a_time_for |
visualizing algebraic operations
|
| gptkbp:is_a_tool_for |
combinatorial group theory
visualizing group actions |
| gptkbp:is_available_in |
a geometric representation
|
| gptkbp:is_designed_to |
a generating set S
|
| gptkbp:is_integrated_with |
gptkb:Euclidean_space
|
| gptkbp:is_involved_in |
orbital graphs
|
| gptkbp:is_linked_to |
if S is not symmetric
|
| gptkbp:is_recognized_for |
a group G
if S is symmetric |
| gptkbp:is_studied_in |
group actions on sets
spectral graph theory symmetry properties graph isomorphism random walks on groups the automorphism group of a graph the structure of groups |
| gptkbp:is_used_in |
cryptography
computer science algebraic topology network theory group homomorphisms the concept of generators the concept of closure in groups expander graphs finite abelian groups |
| gptkbp:isConnectedTo |
if the generating set generates the group
|
| gptkbp:previousName |
gptkb:Arthur_Cayley
|
| gptkbp:related_to |
group actions
coset graphs the_concept_of_Cayley_tables |
| gptkbp:represents |
group structure
|