The dimension-5 folded cube graph (i.e, the Clebsch graph).
Vertices
Edges
Diameter
Chromatic number
Properties
Regular Hamiltonian Distance-transitive.
Table of graphs and parameters
In graph theory, a folded cube graph is an undirected graph formed from a hypercube graph by adding to it a perfect matching that connects opposite pairs of hypercube vertices.
In graph theory, a foldedcubegraph is an undirected graph formed from a hypercube graph by adding to it a perfect matching that connects opposite pairs...
In graph theory, the hypercube graph Qn is the graph formed from the vertices and edges of an n-dimensional hypercube. For instance, the cubegraph Q3...
Clebsch. The 40-edge variant is the dimension-5 foldedcubegraph; it is also known as the Greenwood–Gleason graph after the work of Robert E. Greenwood and...
In graph theory, the halved cubegraph or half cubegraph of dimension n is the graph of the demihypercube, formed by connecting pairs of vertices at distance...
the cube (the vertices and edges) forms a graph with 8 vertices and 12 edges, called the cubegraph. It is a special case of the hypercube graph. It is...
a graph. It is one of 5 Platonic graphs, each a skeleton of its Platonic solid. This graph can also be constructed as the generalized Petersen graph G(10...
snub cube is second in a series of snub polyhedra and tilings with vertex figure 3.3.4.3.n. In graph theory, a snub cubical graph is the graph of vertices...
cube. Divide every face of the cube into nine squares, like a Rubik's Cube. This sub-divides the cube into 27 smaller cubes. Remove the smaller cube in...
regular faces to each of its pentagonal faces, or by putting points onto the cube. The resulting polyhedron has 20 equilateral triangles as its faces, 30 edges...
cubic Archimedean graph. Spinning truncated cubeCube-connected cycles, a family of graphs that includes the skeleton of the truncated cube B. M. Stewart...
is an Archimedean solid. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal...
zero-symmetric and cubic Archimedean graph. Wikimedia Commons has media related to Truncated cuboctahedron. Cube Cuboctahedron Octahedron Truncated icosidodecahedron...
originally spelled the word as tessaract. As a regular polytope with three cubesfolded together around every edge, it has Schläfli symbol {4,3,3} with hyperoctahedral...
constructed as the line graph of the cube. It has 12 vertices and 24 edges, is locally linear, and is a quartic Archimedean graph. Icosidodecahedron Pseudocuboctahedron...
polycube can be visualized by means of a "dual graph" that has a vertex for each cube and an edge for each two cubes that share a square. This is different from...
include the odd graphs and the foldedcubegraphs. Although the Petersen graph has been known since 1898, its definition as an odd graph dates to the work...
Atlas of Graphs, page=172, C105 An Atlas of Graphs, page 267, truncated tetrahedral graph An Atlas of Graphs, page 130, connected cubic graphs, 12 vertices...
in Bonn Rubik's Cube variant model made with Polydron construction set Pyrite crystal Boleite crystal In the mathematical field of graph theory, a truncated...
symmetry group of the cube and octahedron. It is the hyperoctahedral group for n = 3. See also the isometries of the cube. With the 4-fold axes as coordinate...
In graph theory, a branch of mathematics, many important families of graphs can be described by a finite set of individual graphs that do not belong to...
combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory...
the cube. The cube can be dissected into six such 3-orthoschemes four different ways, with all six surrounding the same √3 cube diagonal. The cube can...
four coefficients, the four basic arithmetic operations, square roots and cube roots. (This is also true of quadratic (second-degree) and quartic (fourth-degree)...