java.lang.Object
org.jgrapht.generate.NamedGraphGenerator<V,E>
- Type Parameters:
V
- graph vertex typeE
- graph edge type
Collection of commonly used named graphs
- Author:
- Joris Kinable
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Constructor Summary
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Method Summary
Modifier and TypeMethodDescriptionstatic Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> Generate the Doyle Graphstatic Graph<Integer,
DefaultEdge> Generates a Dürer Graph.static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> generalizedPetersenGraph
(int n, int k) void
generateBidiakisCubeGraph
(Graph<V, E> targetGraph) Generates a Bidiakis cube Graph.void
generateBlanusaFirstSnarkGraph
(Graph<V, E> targetGraph) Generates the First Blanusa Snark Graph.void
generateBlanusaSecondSnarkGraph
(Graph<V, E> targetGraph) Generates the Second Blanusa Snark Graph.void
generateBrinkmannGraph
(Graph<V, E> targetGraph) Generates the Brinkmann Graph.void
generateBuckyBallGraph
(Graph<V, E> targetGraph) Generates a Bucky ball Graph.void
generateBullGraph
(Graph<V, E> targetGraph) Generates a Bull Graph.void
generateButterflyGraph
(Graph<V, E> targetGraph) Generates a Butterfly Graph.void
generateChvatalGraph
(Graph<V, E> targetGraph) Generates the Chvatal Graph.void
generateClawGraph
(Graph<V, E> targetGraph) Generates a Claw Graph.void
generateClebschGraph
(Graph<V, E> targetGraph) Generates a Clebsch Graph.void
generateCoxeterGraph
(Graph<V, E> targetGraph) Generates the Coxeter Graph.void
generateDesarguesGraph
(Graph<V, E> targetGraph) Generates a Desargues Graph.void
generateDiamondGraph
(Graph<V, E> targetGraph) Generates the Diamond Graph.void
generateDodecahedronGraph
(Graph<V, E> targetGraph) Generates a Dodecahedron Graph.void
generateDoubleStarSnarkGraph
(Graph<V, E> targetGraph) Generates the Double Star Snark Graph.void
generateDoyleGraph
(Graph<V, E> targetGraph) Generates a Doyle Graph.void
generateDürerGraph
(Graph<V, E> targetGraph) Generates a Dürer Graph.void
generateEllinghamHorton54Graph
(Graph<V, E> targetGraph) Generates the Ellingham-Horton 54 Graph.void
generateEllinghamHorton78Graph
(Graph<V, E> targetGraph) Generates the Ellingham-Horton 78 Graph.void
generateErreraGraph
(Graph<V, E> targetGraph) Generates the Errera Graph.void
generateFolkmanGraph
(Graph<V, E> targetGraph) Generates the Folkman Graph.void
generateFranklinGraph
(Graph<V, E> targetGraph) Generates the Franklin Graph.void
generateFruchtGraph
(Graph<V, E> targetGraph) Generates the Frucht Graph.void
generateGoldnerHararyGraph
(Graph<V, E> targetGraph) Generates the Goldner-Harary Graph.void
generateGossetGraph
(Graph<V, E> targetGraph) Generates the Gosset Graph.void
generateGrötzschGraph
(Graph<V, E> targetGraph) Generates a Grötzsch Graph.void
generateHeawoodGraph
(Graph<V, E> targetGraph) Generates the Heawood Graph.void
generateHerschelGraph
(Graph<V, E> targetGraph) Generates the Herschel Graph.void
generateHoffmanGraph
(Graph<V, E> targetGraph) Generates the Hoffman Graph.void
generateKittellGraph
(Graph<V, E> targetGraph) Generates the Kittell Graph.void
generateKlein3RegularGraph
(Graph<V, E> targetGraph) Generates the Klein 3-regular Graph.void
generateKlein7RegularGraph
(Graph<V, E> targetGraph) Generates the Klein 7-regular Graph.void
generateKrackhardtKiteGraph
(Graph<V, E> targetGraph) Generates the Krackhardt kite Graph.void
generateMöbiusKantorGraph
(Graph<V, E> targetGraph) Generates a Möbius-Kantor Graph.void
generateMoserSpindleGraph
(Graph<V, E> targetGraph) Generates the Moser spindle Graph.void
generateNauruGraph
(Graph<V, E> targetGraph) Generates a Nauru Graph.void
generatePappusGraph
(Graph<V, E> targetGraph) Generates the Pappus Graph.void
generatePetersenGraph
(Graph<V, E> targetGraph) Generates a Petersen Graph.void
generatePoussinGraph
(Graph<V, E> targetGraph) Generates the Poussin Graph.void
generateSchläfliGraph
(Graph<V, E> targetGraph) Generates the Schläfli Graph.void
generateThomsenGraph
(Graph<V, E> targetGraph) Generates the Thomsen Graph.void
generateTietzeGraph
(Graph<V, E> targetGraph) Generates the Tietze Graph.void
generateTutteGraph
(Graph<V, E> targetGraph) Generates the Tutte Graph.void
generateZacharyKarateClubGraph
(Graph<V, E> targetGraph) Generates the Zachary's karate club Graph.static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> Generates a Grötzsch Graph.static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> Generates a Möbius-Kantor Graph.static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> Generates the Schläfli Graph.static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge> static Graph<Integer,
DefaultEdge>
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Constructor Details
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NamedGraphGenerator
public NamedGraphGenerator()Constructs a new generator for named graphs
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Method Details
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doyleGraph
Generate the Doyle Graph- Returns:
- Doyle Graph
- See Also:
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generateDoyleGraph
Generates a Doyle Graph. The Doyle graph, sometimes also known as the Holt graph (Marušič et al. 2005), is the quartic symmetric graph on 27 nodes- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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generalizedPetersenGraph
- Parameters:
n
- Generalized Petersen graphs $GP(n,k)$k
- Generalized Petersen graphs $GP(n,k)$- Returns:
- Generalized Petersen Graph
- See Also:
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petersenGraph
- Returns:
- Petersen Graph
- See Also:
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generatePetersenGraph
Generates a Petersen Graph. The Petersen Graph is a named graph that consists of 10 vertices and 15 edges, usually drawn as a five-point star embedded in a pentagon. It is the generalized Petersen graph $GP(5,2)$- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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dürerGraph
Generates a Dürer Graph. The Dürer graph is the skeleton of Dürer's solid, which is the generalized Petersen graph $GP(6,2)$.- Returns:
- the Dürer Graph
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generateDürerGraph
Generates a Dürer Graph. The Dürer graph is the skeleton of Dürer's solid, which is the generalized Petersen graph $GP(6,2)$.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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dodecahedronGraph
- Returns:
- Dodecahedron Graph
- See Also:
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generateDodecahedronGraph
Generates a Dodecahedron Graph. The skeleton of the dodecahedron (the vertices and edges) form a graph. It is one of 5 Platonic graphs, each a skeleton of its Platonic solid. It is the generalized Petersen graph $GP(10,2)$- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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desarguesGraph
- Returns:
- Desargues Graph
- See Also:
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generateDesarguesGraph
Generates a Desargues Graph. The Desargues graph is a cubic symmetric graph distance-regular graph on 20 vertices and 30 edges. It is the generalized Petersen graph $GP(10,3)$- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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nauruGraph
- Returns:
- Nauru Graph
- See Also:
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generateNauruGraph
Generates a Nauru Graph. The Nauru graph is a symmetric bipartite cubic graph with 24 vertices and 36 edges. It is the generalized Petersen graph $GP(12,5)$- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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möbiusKantorGraph
Generates a Möbius-Kantor Graph. The unique cubic symmetric graph on 16 nodes. It is the generalized Petersen graph $GP(8,3)$- Returns:
- the Möbius-Kantor Graph
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generateMöbiusKantorGraph
Generates a Möbius-Kantor Graph. The unique cubic symmetric graph on 16 nodes. It is the generalized Petersen graph $GP(8,3)$- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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bullGraph
- Returns:
- Bull Graph
- See Also:
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generateBullGraph
Generates a Bull Graph. The bull graph is a simple graph on 5 nodes and 5 edges whose name derives from its resemblance to a schematic illustration of a bull or ram- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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butterflyGraph
- Returns:
- Butterfly Graph
- See Also:
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generateButterflyGraph
Generates a Butterfly Graph. This graph is also known as the "bowtie graph" (West 2000, p. 12). It is isomorphic to the friendship graph $F_2$.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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clawGraph
- Returns:
- Claw Graph
- See Also:
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generateClawGraph
Generates a Claw Graph. The complete bipartite graph $K_{1,3}$ is a tree known as the "claw."- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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buckyBallGraph
- Returns:
- Bucky ball Graph
- See Also:
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generateBuckyBallGraph
Generates a Bucky ball Graph. This graph is a 3-regular 60-vertex planar graph. Its vertices and edges correspond precisely to the carbon atoms and bonds in buckminsterfullerene. When embedded on a sphere, its 12 pentagon and 20 hexagon faces are arranged exactly as the sections of a soccer ball.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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clebschGraph
- Returns:
- Clebsch Graph
- See Also:
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generateClebschGraph
Generates a Clebsch Graph. The Clebsch graph, also known as the Greenwood-Gleason graph (Read and Wilson, 1998, p. 284), is a strongly regular quintic graph on 16 vertices and 40 edges.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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grötzschGraph
Generates a Grötzsch Graph. The Grötzsch graph is smallest triangle-free graph with chromatic number four.- Returns:
- the Grötzsch Graph
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generateGrötzschGraph
Generates a Grötzsch Graph. The Grötzsch graph is smallest triangle-free graph with chromatic number four.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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bidiakisCubeGraph
- Returns:
- Bidiakis cube Graph
- See Also:
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generateBidiakisCubeGraph
Generates a Bidiakis cube Graph. The 12-vertex graph consisting of a cube in which two opposite faces (say, top and bottom) have edges drawn across them which connect the centers of opposite sides of the faces in such a way that the orientation of the edges added on top and bottom are perpendicular to each other.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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blanusaFirstSnarkGraph
- Returns:
- First Blanusa Snark Graph
- See Also:
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generateBlanusaFirstSnarkGraph
Generates the First Blanusa Snark Graph. The Blanusa graphs are two snarks on 18 vertices and 27 edges.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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blanusaSecondSnarkGraph
- Returns:
- Second Blanusa Snark Graph
- See Also:
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generateBlanusaSecondSnarkGraph
Generates the Second Blanusa Snark Graph. The Blanusa graphs are two snarks on 18 vertices and 27 edges.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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doubleStarSnarkGraph
- Returns:
- Double Star Snark Graph
- See Also:
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generateDoubleStarSnarkGraph
Generates the Double Star Snark Graph. A snark on 30 vertices with edge chromatic number 4.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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brinkmannGraph
- Returns:
- Brinkmann Graph
- See Also:
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generateBrinkmannGraph
Generates the Brinkmann Graph. The Brinkmann graph is a weakly regular quartic graph on 21 vertices and 42 edges.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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gossetGraph
- Returns:
- Gosset Graph
- See Also:
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generateGossetGraph
Generates the Gosset Graph. The Gosset graph is a 27-regular graph on 56 vertices which is the skeleton of the Gosset polytope $3_{21}$.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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chvatalGraph
- Returns:
- Chvatal Graph
- See Also:
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generateChvatalGraph
Generates the Chvatal Graph. The Chvátal graph is an undirected graph with 12 vertices and 24 edges, discovered by Václav Chvátal (1970)- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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kittellGraph
- Returns:
- Kittell Graph
- See Also:
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generateKittellGraph
Generates the Kittell Graph. The Kittell graph is a planar graph on 23 nodes and 63 edges that tangles the Kempe chains in Kempe's algorithm and thus provides an example of how Kempe's supposed proof of the four-color theorem fails.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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coxeterGraph
- Returns:
- Coxeter Graph
- See Also:
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generateCoxeterGraph
Generates the Coxeter Graph. The Coxeter graph is a nonhamiltonian cubic symmetric graph on 28 vertices and 42 edges.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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diamondGraph
- Returns:
- Diamond Graph
- See Also:
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generateDiamondGraph
Generates the Diamond Graph. The Diamond graph has 4 vertices and 5 edges.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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ellinghamHorton54Graph
- Returns:
- Ellingham-Horton 54 Graph
- See Also:
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generateEllinghamHorton54Graph
Generates the Ellingham-Horton 54 Graph. The Ellingham–Horton graph is a 3-regular bicubic graph of 54 vertices- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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ellinghamHorton78Graph
- Returns:
- Ellingham-Horton 78 Graph
- See Also:
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generateEllinghamHorton78Graph
Generates the Ellingham-Horton 78 Graph. The Ellingham–Horton graph is a 3-regular graph of 78 vertices- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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erreraGraph
- Returns:
- Errera Graph
- See Also:
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generateErreraGraph
Generates the Errera Graph. The Errera graph is the 17-node planar graph- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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folkmanGraph
- Returns:
- Folkman Graph
- See Also:
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generateFolkmanGraph
Generates the Folkman Graph. The Folkman graph is the 20-vertex 4-regular graph.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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franklinGraph
- Returns:
- Franklin Graph
- See Also:
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generateFranklinGraph
Generates the Franklin Graph. The Franklin graph is the 12-vertex cubic graph.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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fruchtGraph
- Returns:
- Frucht Graph
- See Also:
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generateFruchtGraph
Generates the Frucht Graph. The Frucht graph is smallest cubic identity graph.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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goldnerHararyGraph
- Returns:
- Goldner-Harary Graph
- See Also:
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generateGoldnerHararyGraph
Generates the Goldner-Harary Graph. The Goldner-Harary graph is a graph on 11 vertices and 27. It is a simplicial graph, meaning that it is polyhedral and consists of only triangular faces.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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heawoodGraph
- Returns:
- Heawood Graph
- See Also:
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generateHeawoodGraph
Generates the Heawood Graph. Heawood graph is an undirected graph with 14 vertices and 21 edges, named after Percy John Heawood.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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herschelGraph
- Returns:
- Herschel Graph
- See Also:
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generateHerschelGraph
Generates the Herschel Graph. The Herschel graph is the smallest nonhamiltonian polyhedral graph (Coxeter 1973, p. 8). It is the unique such graph on 11 nodes and 18 edges.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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hoffmanGraph
- Returns:
- Hoffman Graph
- See Also:
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generateHoffmanGraph
Generates the Hoffman Graph. The Hoffman graph is the bipartite graph on 16 nodes and 32 edges.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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krackhardtKiteGraph
- Returns:
- Krackhardt kite Graph
- See Also:
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generateKrackhardtKiteGraph
Generates the Krackhardt kite Graph. The Krackhardt kite is the simple graph on 10 nodes and 18 edges. It arises in social network theory.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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klein3RegularGraph
- Returns:
- Klein 3-regular Graph
- See Also:
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generateKlein3RegularGraph
Generates the Klein 3-regular Graph. This graph is a 3-regular graph with 56 vertices and 84 edges, named after Felix Klein.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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klein7RegularGraph
- Returns:
- Klein 7-regular Graph
- See Also:
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generateKlein7RegularGraph
Generates the Klein 7-regular Graph. This graph is a 7-regular graph with 24 vertices and 84 edges, named after Felix Klein.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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moserSpindleGraph
- Returns:
- Moser spindle Graph
- See Also:
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generateMoserSpindleGraph
Generates the Moser spindle Graph. The Moser spindle is the 7-node unit-distance graph.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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pappusGraph
- Returns:
- Pappus Graph
- See Also:
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generatePappusGraph
Generates the Pappus Graph. The Pappus Graph is a bipartite 3-regular undirected graph with 18 vertices and 27 edges.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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poussinGraph
- Returns:
- Poussin Graph
- See Also:
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generatePoussinGraph
Generates the Poussin Graph. The Poussin graph is the 15-node planar graph.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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schläfliGraph
Generates the Schläfli Graph. The Schläfli graph is a strongly regular graph on 27 nodes- Returns:
- the Schläfli Graph
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generateSchläfliGraph
Generates the Schläfli Graph. The Schläfli graph is a strongly regular graph on 27 nodes- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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tietzeGraph
- Returns:
- Tietze Graph
- See Also:
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generateTietzeGraph
Generates the Tietze Graph. The Tietze Graph is an undirected cubic graph with 12 vertices and 18 edges.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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thomsenGraph
- Returns:
- Thomsen Graph
- See Also:
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generateThomsenGraph
Generates the Thomsen Graph. The Thomsen Graph is complete bipartite graph consisting of 6 vertices (3 vertices in each bipartite partition. It is also called the Utility graph.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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tutteGraph
- Returns:
- Tutte Graph
- See Also:
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generateTutteGraph
Generates the Tutte Graph. The Tutte Graph is a 3-regular graph with 46 vertices and 69 edges.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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generateZacharyKarateClubGraph
Generates the Zachary's karate club Graph.- Parameters:
targetGraph
- receives the generated edges and vertices; if this is non-empty on entry, the result will be a disconnected graph since generated elements will not be connected to existing elements
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