Examples of using Each vertex in English and their translations into Russian
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Colloquial
Ore's theorem is a generalization of Dirac's theorem that, when each vertex has degree at least n/2,
Their construction, by arranging n faces around each vertex, can be repeated indefinitely as tilings of the hyperbolic plane.
In a traditional graph coloring, each vertex in a graph is assigned some color,
That is, each vertex of G/ P{\displaystyle G/P} is a module of G,
two triangles alternate around each vertex, and its edges form an infinite arrangement of lines.
The remaining convex regular polyhedra have an odd number of faces at each vertex so cannot be colored in a way that preserves edge transitivity.
Since each vertex has degree k,
A Descartes snark is obtained from the Petersen graph by replacing each vertex with a nonagon and each edge with a particular graph closely related to the Petersen graph.
In a line graph L(G), each vertex of degree k in the original graph G creates k(k-1)/2 edges in the line graph.
Each vertex of the polar graph corresponds to two vertices of the skew-symmetric graph,
Then we only need to take for each vertex minimal egde, that entering this vertex. Why?
one consisting of squares, six at each vertex, and one consisting of hexagons,
that is, each vertex is reachable from itself.
v for each vertex v in the subgraph φG.
In geometry, the truncated square tiling is a semiregular tiling by regular polygons of the Euclidean plane with one square and two octagons on each vertex.
Much of the research on matchstick graphs has concerned regular graphs, in which each vertex has the same number of neighbors.
should be assigned to each vertex x{\displaystyle x.
with five pentagons meeting at each vertex, intersecting each other making a pentagrammic path.
the algorithm finds a matching M such that each vertex in V is incident with at most one edge in M and|M| is maximized.
it has four dodecahedra around each edge, and 8 dodecahedra around each vertex in an octahedral arrangement.