Built-in Graphs

 

ReferenceReference

CompleteGraph a graph with an edge between each pair of vertices

RandomGraph construct a random graph

EmptyGraph ▪ OddGraph ▪ CirculantGraph ▪ CompleteKPartiteGraph ▪ Turan

Cycle a circular chain of edges

Star a tree-like graph with one vertex connected to all others

GridGraph graph with nodes on a grid

Wheel ▪ Hypercube ▪ ButterflyGraph ▪ ShuffleExchangeGraph ▪ DeBruijnGraph

Special Graphs

Harary smallest -connected graph with vertices

TutteGraph example of non-Hamiltonian graph

PetersenGraph ▪ GeneralizedPetersenGraph ▪ CageGraph

MeredithGraph ▪ NoPerfectMatchingGraph ▪ ThomassenGraph

KnightsTourGraph ▪ ChvatalGraph ▪ CoxeterGraph ▪ FolkmanGraph

FranklinGraph ▪ FruchtGraph ▪ GrayGraph ▪ GroetzschGraph

HerschelGraph ▪ HeawoodGraph ▪ LeviGraph ▪ McGeeGraph ▪ RobertsonGraph

UnitransitiveGraph ▪ Uniquely3ColorableGraph ▪ WaltherGraph

CubeConnectedCycle ▪ MycielskiGraph

Platonic Solids

TetrahedralGraph ▪ CubicalGraph ▪ OctahedralGraph

IcosahedralGraph ▪ DodecahedralGraph

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