Examples of using Polyhedral in English and their translations into Russian
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Of these, the two polyhedral graphs are planar.
Polyhedral examples must have at least nine faces.
In graph theory, the Golomb graph is a polyhedral graph with 10 vertices and 18 edges.
The upper polyhedral level iscrowned with ahipped roof with gable windows.
Automatically generating OpenCL code from loop nests via a polyhedral model.
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The smallest pair of isospectral polyhedral graphs are enneahedra with eight vertices each.
This is not a 4-polytope, since it is not bounded by polyhedral cells.
A polyhedral compound is a figure that is composed of several polyhedra sharing a common centre.
The smallest possible number of vertices for a non-hamiltonian polyhedral graph is 11.
The observation that every chordal polyhedral graph is maximal planar was stated explicitly by Gerlach 2004.
Barnette's conjecture states that every cubic bipartite polyhedral graph is Hamiltonian.
Synthesis and study of reactivity of polyhedral boron compounds and organic derivatives of nontransition metals.
Extremely fast and efficient multi-block structured, unstructured, hybrid,and body-aligned polyhedral mesh generation.
With this construction, the Bidiakis cube is a polyhedral graph, and can be realized as a convex polyhedron.
The McKay correspondence can be extended tomultiply laced Dynkin diagrams, by using a pair of binary polyhedral groups.
In 1880, P.G. Tait conjectured that every cubic polyhedral graph has a Hamiltonian circuit.
The earrings are formed by two round plates with a big crystalin the center and pendants with beige polyhedral crystals.
D2 is a subgroup of all the polyhedral symmetries(see below), and D2h is a subgroup of the polyhedral groups Th and Oh.
The hidden inner pentagons are no longer part of the polyhedral surface, and can disappear.
Typically, a fundamental domain is required to be a connected subset with some restrictions on its boundary, for example,smooth or polyhedral.
These nets may then be assembled into actual three-dimensional polyhedral models of great beauty and complexity.
In graph theory, a branch of mathematics, the Herschel graph is a bipartite undirected graph with 11 vertices and 18 edges,the smallest non-Hamiltonian polyhedral graph.
They are the chordal maximal planar graphs,the chordal polyhedral graphs, and the planar 3-trees.
Because oriented polyhedral graphs have a unique planar embedding, the existence of an upward planar drawing for these graphs may be tested in polynomial time.
A refinement of Tait's conjecture,Barnette's conjecture that every bipartite 3-regular polyhedral graph is Hamiltonian, remains open.
Other infinite sequences of polyhedral graph formed in a similar way from polyhedra with regular-polygon bases include the antiprism graphs(graphs of antiprisms) and wheel graphs graphs of pyramids.
The 46-vertex Tutte graph, andthe smaller cubic non-Hamiltonian polyhedral graphs derived from it, have cyclic edge connectivity three.
It is not possible to use Grinberg's theorem to find counterexamples to Barnette's conjecture,that every cubic bipartite polyhedral graph is Hamiltonian.
A related conjecture of Barnette states that every cubic polyhedral graph in which all faces have six or fewer edges is Hamiltonian.
The earrings are formed by two round plates with a big crystalin the center and pendants with beige polyhedral crystals. Hook closure.
