Examples of using Polyhedral in English and their translations into Russian
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Because oriented polyhedral graphs have a unique planar embedding,
Other infinite sequences of polyhedral graph formed in a similar way from polyhedra with regular-polygon bases include the antiprism graphs(graphs of antiprisms)
With this construction, the Bidiakis cube is a polyhedral graph, and can be realized as a convex polyhedron.
the smaller cubic non-Hamiltonian polyhedral graphs derived from it,
multiply laced Dynkin diagrams, by using a pair of binary polyhedral groups.
By Steinitz's theorem, the Goldner-Harary graph is a polyhedral graph: it is planar
According to Steinitz's theorem, these two graph-theoretic properties are enough to completely characterize the polyhedral graphs: they are exactly the 3-vertex-connected planar graphs.
Another reason is that it led to a linear programming polyhedral description of the matching polytope,
D2 is a subgroup of all the polyhedral symmetries(see below), and D2h is a subgroup of the polyhedral groups Th and Oh.
Therefore, by Steinitz's theorem, the Herschel graph is a polyhedral graph: there exists a convex polyhedron(an enneahedron)
Binary polyhedral group Binary cyclic group Binary dihedral group Binary octahedral group Binary icosahedral group Coxeter,
equivalently the chordal polyhedral graphs.
There are many additional known results on shortness exponents of restricted subclasses of planar and polyhedral graphs.
onwhich alow polyhedral hipped roof isbased.
The Tadmur experiment to produce polyhedral solid structures formed by micro-crystals during their accumulation and growth.
The resulting medial graph remains polyhedral, so by Steinitz's theorem it can be represented as a polyhedron.
Grinberg used his theorem to find non-Hamiltonian cubic polyhedral graphs with high cyclic edge connectivity.
states that every bicubic polyhedral graph is Hamiltonian.
It is one of four well-covered cubic polyhedral graphs and one of seven well-covered 3-connected cubic graphs.
Polyhedral disposable plates