graph theory, the cube-connected cycles is an undirected cubic graph, formed by replacing each vertex of a hypercube graph by a cycle. It was introduced...

cube, one of the Archimedean solids. It has 24 vertices and 36 edges, and is a cubic Archimedean graph. Spinning truncated cube Cube-connected cycles...

graph Cube-connected cycles Fibonacci cube Folded cube graph Frankl–Rödl graph Halved cube graph Hypercube internetwork topology Partial cube Watkins...

connected in regular interconnection network such as a de Bruijn graph, a hypercube graph, a hypertree network, a fat tree network, a torus, or cube-connected...

numeral for 300 Countable chain condition, in order theory CCCn, cube-connected cycles of order n in graph theory Continuous curvilinear capsulorhexis...

the cube-connected cycles. C Cn is an n-vertex cycle graph; see cycle. cactus A cactus graph, cactus tree, cactus, or Husimi tree is a connected graph...

edges of the Platonic solids). The finite Cayley graphs (such as cube-connected cycles) are also vertex-transitive, as are the vertices and edges of the...

Ultracomputer[citation needed]. Omega network simulation in c Clos network Cube-connected cycles Nonblocking minimal spanning switch Banyan switch Delta network...

paper (with Jean Vuillemin), still highly cited, presented the cube-connected-cycles (CCC), a parallel architecture that optimally emulates the hypercube...

graph Generating set of a group Lovász conjecture Cube-connected cycles Algebraic graph theory Cycle graph (algebra) Proof: Let σ : V ( Γ ) → V ( Γ ) {\displaystyle...

rotation and flipping the first bit, can also be used to generate the cube-connected cycles, a different cubic parallel communications network with a greater...

was developed. With Franco P. Preparata, he also introduced the cube-connected cycles as a network topology in parallel computing.[D] Vuillemin earned...

induced cycle is a cycle that is an induced subgraph of G; induced cycles are also called chordless cycles or (when the length of the cycle is four or...

thickness of binary de Bruijn graphs, shuffle-exchange graphs, and cube-connected cycles (when these graphs are large enough to be nonplanar) is exactly...

The GameCube controller is the standard game controller for the GameCube home video game console, manufactured by Nintendo and launched in 2001. As the...

the rhombic triacontahedron from the 6-cube. Shown here including the inner 12 vertices, which are not connected by the outer hull edges of 6D norm length...

these cycles). For edge-weighted planar graphs (with sufficiently general weights that no two cycles have the same weight) the minimum-weight cycle basis...

illustrated by the first of the three graphs for the special case of the cube. (The assumption that the polyhedral surface is homeomorphic to the sphere...

How many colors are needed for a coloring of the n-cube without monochromatic 4-cycles or 6-cycles? Brouwer, Dejter and Thomassen showed that 4 colors...

when m is either even or three. In particular this holds for the cube-connected cycles, which can be generated as the Cayley graph of the wreath product...

of a cube graph, or as the generalized Petersen graph G(6,2). As with any graph of a convex polyhedron, the Dürer graph is a 3-vertex-connected simple...

one point and every two points be connected with a single line, Levi graphs necessarily do not contain any cycles of length four, so their girth must...

which meet at each vertex. A regular octahedron is the dual polyhedron of a cube. It is also a rectified tetrahedron, a square bipyramid in any of three orthogonal...

through thirteen are 190, 370, 712, 1373, 2687. For cycles (the coil-in-the-box problem), a cycle cannot exist in a hypercube of dimension less than two...

the cycles and of the (disjoint) cycles themselves. Miklós Bóna calls the following ordering choices the canonical cycle notation: in each cycle the largest...

k-chains are combinations of k-simplices (respectively, k-cubes), but not necessarily connected. Chains are used in homology; the elements of a homology...

after it. In 1950, on the occasion of his 75th birthday, Jung set up a stone cube on the lakeshore, just west of the tower, inscribing it on three sides. One...

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...

of the Cube Forum. "5x5 can be solved in 109 MTM". Domain of the Cube Forum. "5x5 sliding puzzle can be solved in 205 moves". Domain of the Cube Forum...

known as the inventor of the Rubik's Cube. Rubik's Snake was released during 1981 at the height of the Rubik's Cube craze. According to Ernő Rubik: "The...