Dodecahedron Graph

URI: https://gptkb.org/entity/Dodecahedron_Graph

GPTKB entity

Predicate	Object
gptkbp:instanceOf	graph Cubic Graph Polyhedral Graph Regular Graph
gptkbp:automorphismGroup	A5 × Z2
gptkbp:cageParameters	(3,5)
gptkbp:chromaticNumber	3
gptkbp:correspondsTo	Edges and vertices of a regular dodecahedron
gptkbp:degree	3
gptkbp:diameter	3 5
gptkbp:dualGraph	Icosahedral Graph
gptkbp:edge	30
gptkbp:edgeConnectivity	3
gptkbp:edgeTransitive	true
gptkbp:embedding	gptkb:Sphere
gptkbp:faced	gptkb:Pentagon 12
gptkbp:faceTransitive	true
gptkbp:girth	3
gptkbp:hamiltonian	true
gptkbp:hasWikipediaPage	https://en.wikipedia.org/wiki/Dodecahedral_graph
https://www.w3.org/2000/01/rdf-schema#label	Dodecahedron Graph
gptkbp:is3Connected	true
gptkbp:isBipartite	false
gptkbp:isCageGraph	true
gptkbp:isCayleyGraph	true
gptkbp:isDistanceRegular	true
gptkbp:isHypohamiltonian	false
gptkbp:isPetersenGraphSubgraph	false
gptkbp:isPlatonicSolidGraph	true
gptkbp:isSnark	false
gptkbp:namedAfter	gptkb:Dodecahedron
gptkbp:planar	true
gptkbp:spectrumOfActivity	{3, (√5)^3, 1^4, 0^4, (−1)^4, (−√5)^3, −3}
gptkbp:symmetry	true
gptkbp:vertexConnectivity	3
gptkbp:vertexTransitive	true
gptkbp:vertices	20
gptkbp:bfsParent	gptkb:Hamiltonian_Cycle
gptkbp:bfsLayer	7