## Class NamedGraphGenerator<V,​E>

• java.lang.Object
• org.jgrapht.generate.NamedGraphGenerator<V,​E>
• Type Parameters:
V - graph vertex type
E - graph edge type

public class NamedGraphGenerator<V,​E>
extends java.lang.Object
Collection of commonly used named graphs
Author:
Joris Kinable
• ### Constructor Detail

• #### NamedGraphGenerator

public NamedGraphGenerator()
Constructs a new generator for named graphs
• ### Method Detail

• #### generateDoyleGraph

public void generateDoyleGraph​(Graph<V,​E> targetGraph)
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
• #### generalizedPetersenGraph

public static Graph<java.lang.Integer,​DefaultEdge> generalizedPetersenGraph​(int n,
int k)
Parameters:
n - Generalized Petersen graphs $GP(n,k)$
k - Generalized Petersen graphs $GP(n,k)$
Returns:
Generalized Petersen Graph
GeneralizedPetersenGraphGenerator
• #### generatePetersenGraph

public void generatePetersenGraph​(Graph<V,​E> targetGraph)
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
• #### dürerGraph

public static Graph<java.lang.Integer,​DefaultEdge> 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
• #### generateDürerGraph

public void generateDürerGraph​(Graph<V,​E> targetGraph)
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
• #### generateDodecahedronGraph

public void generateDodecahedronGraph​(Graph<V,​E> targetGraph)
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
• #### generateDesarguesGraph

public void generateDesarguesGraph​(Graph<V,​E> targetGraph)
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
• #### generateNauruGraph

public void generateNauruGraph​(Graph<V,​E> targetGraph)
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
• #### möbiusKantorGraph

public static Graph<java.lang.Integer,​DefaultEdge> 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
• #### generateMöbiusKantorGraph

public void generateMöbiusKantorGraph​(Graph<V,​E> targetGraph)
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
• #### generateBullGraph

public void generateBullGraph​(Graph<V,​E> targetGraph)
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
• #### generateButterflyGraph

public void generateButterflyGraph​(Graph<V,​E> targetGraph)
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
• #### generateClawGraph

public void generateClawGraph​(Graph<V,​E> targetGraph)
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
• #### generateBuckyBallGraph

public void generateBuckyBallGraph​(Graph<V,​E> targetGraph)
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
• #### generateClebschGraph

public void generateClebschGraph​(Graph<V,​E> targetGraph)
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
• #### grötzschGraph

public static Graph<java.lang.Integer,​DefaultEdge> grötzschGraph()
Generates a Grötzsch Graph. The Grötzsch graph is smallest triangle-free graph with chromatic number four.
Returns:
the Grötzsch Graph
• #### generateGrötzschGraph

public void generateGrötzschGraph​(Graph<V,​E> targetGraph)
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
• #### generateBidiakisCubeGraph

public void generateBidiakisCubeGraph​(Graph<V,​E> targetGraph)
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
• #### generateBlanusaFirstSnarkGraph

public void generateBlanusaFirstSnarkGraph​(Graph<V,​E> targetGraph)
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
• #### generateBlanusaSecondSnarkGraph

public void generateBlanusaSecondSnarkGraph​(Graph<V,​E> targetGraph)
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
• #### generateDoubleStarSnarkGraph

public void generateDoubleStarSnarkGraph​(Graph<V,​E> targetGraph)
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
• #### generateBrinkmannGraph

public void generateBrinkmannGraph​(Graph<V,​E> targetGraph)
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
• #### generateGossetGraph

public void generateGossetGraph​(Graph<V,​E> targetGraph)
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
• #### generateChvatalGraph

public void generateChvatalGraph​(Graph<V,​E> targetGraph)
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
• #### generateKittellGraph

public void generateKittellGraph​(Graph<V,​E> targetGraph)
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
• #### generateCoxeterGraph

public void generateCoxeterGraph​(Graph<V,​E> targetGraph)
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
• #### generateDiamondGraph

public void generateDiamondGraph​(Graph<V,​E> targetGraph)
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
• #### generateEllinghamHorton54Graph

public void generateEllinghamHorton54Graph​(Graph<V,​E> targetGraph)
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
• #### generateEllinghamHorton78Graph

public void generateEllinghamHorton78Graph​(Graph<V,​E> targetGraph)
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
• #### generateErreraGraph

public void generateErreraGraph​(Graph<V,​E> targetGraph)
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
• #### generateFolkmanGraph

public void generateFolkmanGraph​(Graph<V,​E> targetGraph)
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
• #### generateFranklinGraph

public void generateFranklinGraph​(Graph<V,​E> targetGraph)
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
• #### generateFruchtGraph

public void generateFruchtGraph​(Graph<V,​E> targetGraph)
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
• #### generateGoldnerHararyGraph

public void generateGoldnerHararyGraph​(Graph<V,​E> targetGraph)
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
• #### generateHeawoodGraph

public void generateHeawoodGraph​(Graph<V,​E> targetGraph)
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
• #### generateHerschelGraph

public void generateHerschelGraph​(Graph<V,​E> targetGraph)
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
• #### generateHoffmanGraph

public void generateHoffmanGraph​(Graph<V,​E> targetGraph)
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
• #### generateKrackhardtKiteGraph

public void generateKrackhardtKiteGraph​(Graph<V,​E> targetGraph)
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
• #### generateKlein3RegularGraph

public void generateKlein3RegularGraph​(Graph<V,​E> targetGraph)
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
• #### generateKlein7RegularGraph

public void generateKlein7RegularGraph​(Graph<V,​E> targetGraph)
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
• #### generateMoserSpindleGraph

public void generateMoserSpindleGraph​(Graph<V,​E> targetGraph)
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
• #### generatePappusGraph

public void generatePappusGraph​(Graph<V,​E> targetGraph)
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
• #### generatePoussinGraph

public void generatePoussinGraph​(Graph<V,​E> targetGraph)
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
• #### schläfliGraph

public static Graph<java.lang.Integer,​DefaultEdge> schläfliGraph()
Generates the Schläfli Graph. The Schläfli graph is a strongly regular graph on 27 nodes
Returns:
the Schläfli Graph
• #### generateSchläfliGraph

public void generateSchläfliGraph​(Graph<V,​E> targetGraph)
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
• #### generateTietzeGraph

public void generateTietzeGraph​(Graph<V,​E> targetGraph)
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
• #### generateThomsenGraph

public void generateThomsenGraph​(Graph<V,​E> targetGraph)
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
• #### generateTutteGraph

public void generateTutteGraph​(Graph<V,​E> targetGraph)
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
• #### generateZacharyKarateClubGraph

public void generateZacharyKarateClubGraph​(Graph<V,​E> targetGraph)
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