Примеры использования Vertices and edges на Английском языке и их переводы на Русский язык
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When p=r, the number of vertices and edges are equal.
Its vertices and edges form a 3× 3{\displaystyle 3\times 3} rook's graph.
The group order, g,is used to compute the total number of vertices and edges.
All vertices and edges of the polytope are projected onto a hyperplane of that facet.
Trees can be defined as connected graphs with equally many vertices and edges.
The number of vertices and edges has remained the same, but the number of faces has been reduced by 1.
The kagome lattice in this sense consists of the vertices and edges of the trihexagonal tiling.
If so, the vertices and edges of these polygons would form a projective configuration.
Intuitively, this corresponds to"gluing together"(formally,"identifying") vertices and edges of the graph.
The Herschel graph represents the vertices and edges of the Herschel enneahedron above, with all of its faces quadrilaterals.
That is, whenever a graph is both planar and 3-vertex-connected,there exists a polyhedron whose vertices and edges form an isomorphic graph.
The abstract 11-cell contains the same number of vertices and edges as the 10-dimensional 10-simplex,and contains 1/3 of its 165 faces.
In this formulation, a graph is represented by a set V of vertices, a set E of edges, and an incidence relation between vertices and edges.
A skew decagon is a skew polygon with 10 vertices and edges but not existing on the same plane.
Edge-transitive graphs include any complete bipartite graph K m, n{\displaystyle K_{m, n}}, and any symmetric graph,such as the vertices and edges of the cube.
The Goldner-Harary graph may be represented as the graph of vertices and edges of the Kleetope of the triangular bipyramid.
One embedding of this type places its vertices and edges into three-dimensional Euclidean space as the set of vertices and edges of a nonconvex polyhedron with the topology of a torus, the Szilassi polyhedron.
Other non-convex stacked deltahedra include:The undirected graph formed by the vertices and edges of a stacked polytope in d dimensions is a(d+ 1)-tree!
The node, and the graph associated with it, may have one of four types, given the initials SPQR: In an S node,the associated graph is a cycle graph with three or more vertices and edges.
The most natural system for placing the vertices and edges of the information graph is based on the nesting loops in the algorithm implementation.
Finite vertex-transitive graphs include the symmetric graphs such as the Petersen graph,the Heawood graph and the vertices and edges of the Platonic solids.
We define an undirected graph to be a set of vertices and edges such that each edge has two vertices(which may coincide) as endpoints.
Along with investigating the numbers of faces of polytopes, researchers have studied other combinatorial properties of them,such as descriptions of the graphs obtained from the vertices and edges of polytopes their 1-skeleta.
However, for a planar graph(with labeled vertices and edges) that is 2-connected but not 3-connected, there may be greater freedom in finding a planar embedding.
If a graph G{\displaystyle G} is embedded on a closed surface Σ{\displaystyle\Sigma}, the complement of the union of the points and arcs associated with the vertices and edges of G{\displaystyle G} is a family of regions or faces.
The Schlegel diagram of a convex polyhedron represents its vertices and edges as points and line segments in the Euclidean plane, forming a subdivision of an outer convex polygon into smaller convex polygons.
There are many variations of this basic idea, differing in the details of how they implement the association between vertices and collections, in how they implement the collections, in whether they include both vertices and edges or only vertices as first class objects, and in what kinds of objects are used to represent the vertices and edges.
It states that,if one forms an undirected graph from the vertices and edges of a convex d-dimensional polyhedron or polytope(its skeleton), then the resulting graph is at least d-vertex-connected: the removal of any d- 1 vertices leaves a connected subgraph.
The resulting honeycomb is closely related but not equivalent:it has the same vertices and edges, but different two-dimensional facesand three-dimensional cells.
First, we must allow a bounded number of locations on the surface at which we may add some new vertices and edges that are permitted to cross each other in a manner of limited complexity.