Exemplos de uso de Vertex has em Inglês e suas traduções para o Português
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Every vertex has the same degree or valency.
A directed graph is a pseudoforest if and only if every vertex has outdegree at most 1.
In the plane, each vertex has on average six surrounding triangles.
A functional graph is a special case of a pseudoforest in which every vertex has outdegree exactly 1.
It is 4-regular: each vertex has exactly four neighbors.
The image to the right shows a directed graph on eight vertices in which each vertex has out-degree 2.
Since it is a Moore graph where each vertex has degree 7, and the girth is 5, it is a(7,5)-cage.
List coloring is a generalization of the vertex coloring problem in graph, and as this classic problem is to colora simple graph so that adjacent vertices have different colors, but respecting the additional constraint thaht each vertex has a list of porrible colors to be used.
A regular graph is a graph in which each vertex has the same number of neighbours, i.e., every vertex has the same degree.
Stars may also be described as the only connected graphs in which at most one vertex has degree greater than one.
In graph theory,a regular graph is a graph where each vertex has the same number of neighbors; i.e. every vertex has the same degree or valency.
Because M{\displaystyle M} and M∗{\displaystyle M^{*}}are both matchings, every vertex has degree at most 2 in P{\displaystyle P.
In other words,a graph is semi-symmetric if each vertex has the same number of incident edges, and there is a symmetry taking any of the graph's edges to any other of its edges, but there is some pair of vertices such that no symmetry maps the first into the second.
In graph theory,a regular graph is a graph where each vertex has the same number of neighbors; i.e.
Statement of the lemma==If"G" is a connected graph with infinitely many vertices such that every vertex has finite degree(that is, each vertex is adjacent to only finitely many other vertices) then"G" contains an infinitely long simple path, that is, a path with no repeated vertices. .
Andrásfai, Erdős& Sós(1974)proved that any n-vertex triangle-free graph in which each vertex has more than 2n/5 neighbors must be bipartite.
Motivated by this result, Erdős& Simonovits(1973)conjectured that any n-vertex triangle-free graph in which each vertex has at least n/3 neighbors can be colored with only three colors; however, Häggkvist(1981) disproved this conjecture by finding a counterexample in which each vertex of the Grötzsch graph is replaced by an independent set of a carefully chosen size.
Finally, Brandt& Thomassé(2006)proved that any n-vertex triangle-free graph in which each vertex has more than n/3 neighbors must be 4-colorable.
For instance, in the octahedron graph shown in the figure, each vertex has a neighbourhood isomorphic to a cycle of four vertices, so the octahedron is locally C4.
Proved that any"n"-vertex triangle-free graph in which each vertex has more than 2"n"/5 neighbors must be bipartite.
Each cell in the grid can be addressed by index(i, j) in two dimensions or(i, j, k)in three dimensions, and each vertex has coordinates( i⋅ d x, j⋅ d y){\displaystyle(i\cdot dx, j\cdot dy)} in 2D or( i⋅ d x, j⋅ d y, k⋅ d z){\displaystyle(i\cdot dx, j\cdot dy, k\cdot dz)} in 3D for some real numbers dx, dy, and dz representing the grid spacing.
O'Brien 1981 If G is a finite strongly connected aperiodic directed graph(multiple edges allowed) and every vertex has the same in-degree and out-degree k, then G has a synchronizing coloring.
The number of vertices in"Cn" equals the number of edges, and every vertex has degree 2; that is, every vertex has exactly two edges incident with it.
This formulation assumes that 1 all demand points i must be allocated to a single median j;2 a demand point i can only be allocated to a vertex j if this vertex has a median; 3 the total number of medians is p; and 4 the decision variables can only assume values of 0 or 1.
How many vertices has a dodecahedron?
The complete graph on n vertices has edge-connectivity equal to n- 1.
Every other simple graph on vertices has strictly smaller edge-connectivity.
The complete graph with"n" vertices has connectivity"n"- 1, as implied by the first definition.
If a connected graph with three or more vertices has maximum degree three, then its cutwidth equals the vertex separation number of its line graph.
A theorem by Nash- Williams says that every k‑regular graph on 2k+ 1 vertices has a Hamiltonian cycle.