Примеры использования Vertices can на Английском языке и их переводы на Русский язык
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In terms of the image: the vertices can not be dark blue triangles.
If the sets of coplanar triangles are considered a single face, a smaller set of faces, edges, and vertices can be counted.
In terms of the image: the vertices can be the red, the blue or the green triangles.
For instance, in the minor-minimal nonplanar graphs K5 and K3,3, any of the vertices can be chosen as the apex.
Essentially, the two types of vertices can be distinguished by their"neighbors of neighbors.
Both Tietze's graph and the Petersen graph are maximally nonhamiltonian: they have no Hamiltonian cycle,but any two non-adjacent vertices can be connected by a Hamiltonian path.
In terms of the image: the vertices can be the red, the dark blue or the green triangles.
A graph is defined to be k-ultrahomogeneous if every isomorphism between two of its induced subgraphs of at most k vertices can be extended to an automorphism of the whole graph.
Every tree with no degree-two vertices can be realized as the straight skeleton of a convex polygon.
Many results on simultaneous geometric embedding are based on the idea that the Cartesian coordinates of the two given graphs' vertices can be derived from properties of the two graphs.
A graph is vertex-magic if its vertices can be labelled so that the sum on any edge is the same.
If a tournament is regular(each competitor has the same number of wins and losses as each other competitor) then it is also edge-pancyclic; however,a strong tournament with four vertices cannot be edge-pancyclic.
For instance, the graphs with an even number of vertices can be recognized using counting, but not without.
Its vertices can be placed in an n by n grid, so that each vertex is adjacent to the vertices that are not in the same row or column of the grid.
Thus, a cycle passing once through each of the eleven vertices cannot exist in the Herschel graph.
Kempe observed that its vertices can represent the ten lines of the Desargues configuration, and its edges represent pairs of lines that do not meet at one of the ten points of the configuration.
Nevertheless, Bernard Chazelle showed in 1991 that any simple polygon with n vertices can be triangulated in Θ(n) time, which is optimal.
In a Hamiltonian graph, the vertices can be arranged in a cycle, which accounts for two edges per vertex. .
A k-vertex-connected graph is a graph that cannot be partitioned into more than one component by the removal of fewer than k vertices, orequivalently a graph in which each pair of vertices can be connected by k vertex-disjoint paths.
The rhombille tiling has *632 symmetry, but vertices can be colored with alternating colors on the inner points leading to a *333 symmetry.
In particular, every countably infinite graph with only one end and with no odd vertices can be written as a union of disjoint cycles Sabidussi 1964.
Equivalently, a partial cube is a graph whose vertices can be labeled with bit strings of equal length in such a way that the distance between two vertices in the graph is equal to the Hamming distance between their labels.
The chromatic number of the 110-vertex Iofina-Ivanov graph is 2: its vertices can be 2-colored so that no two vertices of the same color are joined by an edge.
Equivalently, its vertices can be thought of as describing all perfect matchings in a complete bipartite graph, and a linear optimization problem on this polytope can be interpreted as a bipartite minimum weight perfect matching problem.
The Petersen graph has chromatic number 3, meaning that its vertices can be colored with three colors- but not with two- such that no edge connects vertices of the same color.
The Herschel graph is also a bipartite graph: its vertices can be separated into two subsets of five and six vertices respectively, such that every edge has an endpoint in each subset the red and blue subsets in the picture.
As with median graphs more generally, squaregraphs are also partial cubes: their vertices can be labeled with binary strings such that the Hamming distance between strings is equal to the shortest path distance between vertices. .
A chain of length k(k≥ 0)is a connected graph whose vertices can be numbered with integers from 1 to k+ 1 so that the edges of the graph connect all pairs of vertices(i, i+ 1)(1≤i≤k) and only them.
In graph theory, a perfectly orderable graph is a graph whose vertices can be ordered in such a way that a greedy coloring algorithm with that ordering optimally colors every induced subgraph of the given graph.
For these two orders on the vertices, an edge between consecutive vertices can be included in the ordering by placing it immediately following the later of the two edge endpoints, but no other edges can be included.