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Overview of the GraphTheory[SpecialGraphs] Subpackage

 

Description

List of GraphTheory[SpecialGraphs] Subpackage Commands

Gallery of GraphTheory[SpecialGraphs]

Description

• 

The GraphTheory[SpecialGraphs] subpackage collects routines for generating well-known graphs that are named in the literature, such as the PetersenGraph.

• 

The commands for generating complete graphs, paths, and cycles on n vertices are not in the SpecialGraphs subpackage, but in the main GraphTheory package.

List of GraphTheory[SpecialGraphs] Subpackage Commands

• 

The following is a list of special graphs that can be generated.

AntiPrismGraph

Balaban10CageGraph

Balaban11CageGraph

BananaTree

BarnetteBosakLederbergGraph

BerlekampVanLintSeidelGraph

BidiakisCube

BiggsSmithGraph

BishopsGraph

BookGraph

BouquetGraph

BrinkmannGraph

BrouwerHaemersGraph

ButterflyGraph

CageGraph

CameronGraph

ChvatalGraph

CirculantGraph

ClebschGraph

CompleteBinaryTree

CompleteKaryAntiArborescence

CompleteKaryArborescence

CompleteKaryTree

CoxeterGraph

CrownGraph

CuboctahedronGraph

DeBruijnGraph

DesarguesGraph

DipoleGraph

DodecahedronGraph

DoubleStarSnark

DoyleGraph

DuererGraph

DyckGraph

FlowerSnark

FolkmanGraph

FosterCageGraph

FosterGraph

FranklinGraph

FriendshipGraph

FruchtGraph

GearGraph

GeneralizedBlanusaSnark

GeneralizedHexagonGraph

GeneralizedPetersenGraph

GewirtzGraph

GoldbergSnark

GoldnerHararyGraph

GolombGraph

GossetGraph

GrayGraph

GreatRhombicosidodecahedronGraph

GreatRhombicuboctahedronGraph

GridGraph

GrinbergGraph

GrotzschGraph

HaarGraph

HallJankoGraph

HammingGraph

HarborthGraph

HarriesGraph

HarriesWongGraph

HeawoodGraph

HerschelGraph

HigmanSimsGraph

HoffmanGraph

HoffmanSingletonGraph

HouseGraph

HypercubeGraph

IcosahedronGraph

IcosidodecahedronGraph

JohnsonGraph

KingsGraph

KittellGraph

KneserGraph

KnightsGraph

KrackhardtKiteGraph

LadderGraph

LCFGraph

LeviGraph

LivingstoneGraph

LjubljanaGraph

M22Graph

MarkstroemGraph

McGeeGraph

McLaughlinGraph

MeredithGraph

MeringerGraph

MirzakhaniGraph

MoebiusKantorGraph

MoebiusLadderGraph

NauruGraph

OctahedronGraph

OddGraph

PaleyGraph

PappusGraph

PerkelGraph

PetersenGraph

PoussinGraph

PrismGraph

QueensGraph

RobertsonGraph

RobertsonWegnerGraph

RooksGraph

SchlaefliGraph

ShrikhandeGraph

SmallRhombicosidodecahedronGraph

SmallRhombicuboctahedronGraph

SnubCubeGraph

SnubDodecahedronGraph

SoccerBallGraph

SousselierGraph

StarGraph

SuzukiGraph

SylvesterGraph

SzekeresSnark

TetrahedronGraph

ThetaGraph

TietzeGraph

TorusGridGraph

TruncatedCubeGraph

TruncatedDodecahedronGraph

TruncatedIcosahedronGraph

TruncatedOctahedronGraph

TruncatedTetrahedronGraph

TuranGraph

Tutte12CageGraph

Tutte8CageGraph

TutteGraph

WagnerGraph

WaltherGraph

WatkinsSnark

WebGraph

WellsGraph

WheelGraph

WienerArayaGraph

WindmillGraph

WongGraph

 

 

Gallery of GraphTheory[SpecialGraphs]

• 

The following is a gallery of selected special graphs that can be generated.

Antiprism graph

Balaban 10-cage graph

Balaban 11-cage graph

Banana tree

Barnette-Bosak-Lederberg_graph

Bidiakis cube

Biggs-Smith graph

Bishop's graph

Book graph

Bouquet graph

Brinkmann graph

Butterfly graph

Cage graph

Chvatal graph

Circulant graph

Clebsch graph

Complete binary tree

Complete k-ary anti-arborescence

Complete k-ary arborescence

Complete k-ary tree

Coxeter graph

Crown graph

De Bruijn graph

Desargues graph

Dipole graph

Dodecahedron graph

Double star snark

Doyle graph

Duerer graph

Dyck graph

Flower snark

Folkman graph

Foster cage graph

Foster graph

Franklin graph

Friendship graph

Frucht graph

Gear graph

Generalized Blanusa snark

Generalized hexagon graph

Generalized Petersen graph

Gewirtz graph

Goldberg snark

Goldner-Harary graph

Golomb graph

Gosset graph

Gray graph

Great rhombicosidodecahedron graph

Great rhombicuboctahedron graph

Grid graph

Grinberg graph

Groetzsch graph

Haar graph

Hamming graph

Harborth graph

Harries Graph

Harries-Wong graph

Heawood graph

Herschel graph

Hoffman graph

Hoffman-Singleton graph

house graph

Hypercube graph

Icosahedron graph

icosidodecahedron graph

Johnson graph

King's graph

Kittell graph

Kneser graph

Knight's graph

Ladder graph

LCF Graph

Levi graph

Ljubljana graph

M22 graph

Markstroem graph

McGee graph

Meredith graph

Meringer graph

Mirzakhani graph

Moebius ladder graph

Moebius-Kantor graph

Nauru graph

Octahedron graph

Odd graph

Paley graph

Pappus graph

Perkel graph

Petersen graph

Poussin graph

Prism graph

Queen's graph

Robertson graph

Robertson-Wegner graph

Rook's graph

Schlaefli graph

Soccer ball graph

Sousselier graph

Star graph

Sylvester graph

Szekeres snark

Tetrahedron graph

Theta-graph

Tietze graph

Torus grid graph

Truncated cube graph

Truncated tetrahedron graph

Turan graph

Tutte 8-cage graph

Tutte graph

Tutte-Coxeter graph

Watkins snark

Web graph

Wheel graph

Windmill graph

Wong graph

See Also

CompleteGraph

CycleGraph

GraphTheory

PathGraph

RandomGraphs