K 4 (complete graph on 4 vertices)

GPTKB entity

Statements (48)
Predicate Object
gptkbp:instanceOf graph
simple graph
gptkbp:automorphismGroup gptkb:symmetric_group_S_4
gptkbp:chromaticNumber 3
4
gptkbp:clique_number 4
gptkbp:contains_triangle true
gptkbp:degree_of_each_vertex 3
gptkbp:diameter 1
gptkbp:edge_connectivity 3
gptkbp:edges_in_planar_embedding 6
gptkbp:Eulerian true
gptkbp:faces_in_planar_embedding 4
gptkbp:genus 0
gptkbp:girth 3
gptkbp:Hamiltonian true
https://www.w3.org/2000/01/rdf-schema#label K 4 (complete graph on 4 vertices)
gptkbp:independence_number 1
gptkbp:is_a_1-factorable_graph true
gptkbp:is_a_3-regular_graph true
gptkbp:is_a_Cayley_graph true
gptkbp:is_a_chordal_graph true
gptkbp:is_a_clique_in gptkb:K_5
gptkbp:is_a_cograph true
gptkbp:is_a_distance-transitive_graph true
gptkbp:is_a_line_graph false
gptkbp:is_a_maximal_clique_in gptkb:K_4_(complete_graph_on_4_vertices)
gptkbp:is_a_minor_of gptkb:K_5
gptkbp:is_a_minor-minimal_non-outerplanar_graph true
gptkbp:is_a_perfect_graph true
gptkbp:is_a_planar_embedding gptkb:tetrahedron
gptkbp:is_a_split_graph true
gptkbp:is_a_strongly_regular_graph true
gptkbp:is_a_subgraph_of gptkb:K_5
gptkbp:is_a_symmetric_graph true
gptkbp:is_a_threshold_graph true
gptkbp:is_a_vertex-transitive_graph true
gptkbp:is_an_edge-transitive_graph true
gptkbp:isRegular true
gptkbp:number_of_edges 6
gptkbp:planar true
gptkbp:self-complementary true
gptkbp:triangle-free false
gptkbp:vertex_connectivity 3
gptkbp:vertices 4
gptkbp:vertices_in_planar_embedding 4
gptkbp:bfsParent gptkb:S_4
gptkbp:bfsLayer 6