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regular dodecahedron can be represented as the graph called the dodecahedral graph, a Platonic graph. Its property of the Hamiltonian, a path visits...

degenerated into digons. In the mathematical field of graph theory, a snub dodecahedral graph is the graph of vertices and edges of the snub dodecahedron, one...

its mirror image. In the mathematical field of graph theory, a truncated dodecahedral graph is the graph of vertices and edges of the truncated dodecahedron...

Cubical graph – 8 vertices, 12 edges Icosahedral graph – 12 vertices, 30 edges Dodecahedral graph – 20 vertices, 30 edges A polyhedral graph is the graph of...

Franklin graph Frucht graph Goldner–Harary graph Golomb graph Grötzsch graph Harries graph Harries–Wong graph Herschel graph Hoffman graph Holt graph Horton...

A dodecahedral number is a figurate number that represents a dodecahedron. The nth dodecahedral number is given by the formula n ( 3 n − 1 ) ( 3 n − 2...

Tutte–Coxeter graph, the Dodecahedral graph, the Desargues graph, Tutte 12-cage, the Biggs–Smith graph, and the Foster graph. Bang, S.; Dubickas, A.;...

Möbius–Kantor graph G(8, 3), the dodecahedral graph G(10, 2) and the Nauru graph G(12, 5). The characteristic polynomial of the Desargues graph is ( x − 3...

young branch of graph theory known as fractional graph theory. It is a generalization of ordinary graph coloring. In a traditional graph coloring, each...

Petersen graphs are the cubical graph G ( 4 , 1 ) {\displaystyle G(4,1)} , the Petersen graph G ( 5 , 2 ) {\displaystyle G(5,2)} , the dodecahedral graph G (...

In the mathematical field of graph theory, a distance-transitive graph is a graph such that, given any two vertices v and w at any distance i, and any...

the Petersen graph G ( 5 , 2 ) {\displaystyle G(5,2)} , the Möbius–Kantor graph G ( 8 , 3 ) {\displaystyle G(8,3)} , the dodecahedral graph G ( 10 , 2 )...

circle and three circles through each point. Its Levi graph is the Rhombic dodecahedral graph, the skeleton of both Rhombic dodecahedron and Bilinski...

various individual (finite) graphs. The columns 'vertices', 'edges', 'radius', 'diameter', 'girth', 'P' (whether the graph is planar), χ (chromatic number)...

are 13 distinct cubic distance-regular graphs, of which the Platonic Tetrahedral graph and dodecahedral graph are part. There are 13 Archimedean solids...

share vertices and edges share vertices and edges share vertices, skeletons form dodecahedral graph share vertices, skeletons form icosahedral graph...

centered cubic (bcc) crystals. Some minerals such as garnet form a rhombic dodecahedral crystal habit. As Johannes Kepler noted in his 1611 book on snowflakes...

combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory...

with 5 hemi-dodecahedral cells around each edge. It was discovered by H. S. M. Coxeter (1982). The vertices and edges form the Perkel graph, the unique...

field of graph theory, an Archimedean graph is a graph that forms the skeleton of one of the Archimedean solids. There are 13 Archimedean graphs, and all...