Examples of using Graph formed in English and their translations into Russian
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Then the graph formed by applying the Hajós construction to G and H is k-constructible.
The graph is chordal and does not contain an induced gem, a graph formed by adding two non-crossing diagonals to a pentagon.
A graph formed from a collection of equal-radius circles, in which two circles are connected by an edge if one circle contains the centre of the other circle.
They are the trees that do not contain as a subgraph the graph formed by replacing every edge in the star graph K1,3 by a path of length two.
The graph formed from this geometry has a vertex on one side of its bipartition for each point, a vertex on the other side of its bipartition for each line, and an edge for each incidence between a point and a line.
It is hypohamiltonian, which means that it does not itself have a Hamiltonian cycle but every graph formed by removing a single vertex from it is Hamiltonian.
This graph should be embedded in the graph formed by the street digital map so that all vehicles are in line with its edges or vertices.
A connected graph G, with designated vertices s and t,has a bipolar orientation and an st-numbering if and only if the graph formed from G by adding an edge from s to t is 2-vertex-connected.
Alternatively, a graph G is outerplanar if the graph formed from G by adding a new vertex, with edges connecting it to all the other vertices, is a planar graph. .
Thus if e denotes the number of such line segments, it will suffice to show that e O( n 2 3 m 2 3+ n+ m).{\displaystyle e= O\ left( n^{\ frac{ 2}{ 3}} m^{\ frac{ 2}{ 3}}+ n+m\ right).}Now consider the graph formed by using the n points as vertices, and the e line segments as edges.
Geometrically, the Petersen graph is the graph formed by the vertices and edges of the hemi-dodecahedron, that is, a dodecahedron with opposite points, lines and faces identified together.
Let G be any k-constructible graph, and let u andv be any two non-adjacent vertices in G. Then the graph formed by combining u and v into a single vertex is also k-constructible.
The Turán graph T(n, r) is a complete multipartite graph formed by partitioning a set of n vertices into r subsets, with sizes as equal as possible, and connecting two vertices by an edge if and only if they belong to different subsets.
One may use the third property to extend σ to an orientation-reversing function on the edges of G. The transpose graph of G is the graph formed by reversing every edge of G, and σ defines a graph isomorphism from G to its transpose.
In the case where the graph formed by nodes, is rigid enough or additional information obtained by means of a digital map, makes it rigid enough, the result of the query will be a unique set of points corresponding to the real topological arrangement of network nodes.
Note that the distance are measure in the collinearity graph of points,i.e., the graph formed by taking points as vertices and joining a pair of vertices if they are incident with a common line.
Similar coloring techniques may also be used to schedule other sports pairings that are not all-play-all; for instance, in the National Football League, the pairs of teams that will play each other in a given year are determined,based on the teams' records from the previous year, and then an edge coloring algorithm is applied to the graph formed by the set of pairings in order to assign games to the weekends on which they are played.
Frati& Patrignani(2008) showed that this graph, and any graph formed by adding diagonals to its quadrilaterals, can be drawn within a box of dimensions n/3× 2n/3.
Alternatively and more efficiently, as Haslinger& Stadler(1999) show, a bi-secondary structure exists if andonly if the diagram graph of the input(a graph formed by connecting the bases into a cycle in their sequence order and adding the given basepairs as edges) is a planar graph. .
If a graph G has a linkless orflat embedding, then every minor of G(a graph formed by contraction of edges and deletion of edges and vertices) also has a linkless or flat embedding.
The graphs formed in this way always require k colors in any proper coloring.
Graphs formed in four simple ways from smaller claw-free graphs. .
Color scale enables to estimate a cell profile and represent it in a graph form.
Clique-sums are importantin graph structure theory, where they are used to characterize certain families of graphs as the graphs formed by clique-sums of simpler graphs. .
The statistical module provides statistical reports in graph form, cross-referenced with all the information in the system using a flexible table of indicators.
Presenting information in graph form is a particularly good idea in cases where certain parameters display a trend over a defined period of time.
The friendship graphs( graphs formed by connecting a collection of triangles at a single common vertex) provide examples of graphs that are factor-critical but not Hamiltonian.
Random geometric graphs, formed as unit disk graphs with randomly generated disk centres, have also been used as a model of percolation and various other phenomena.
Therefore, the connected subsets of vertices in a connected block graph form a convex geometry, a property that is not true of any graphs that are not block graphs. .
As these will be collected on an ongoing basis,it might be possible to publish them, perhaps in graph form, on the website, with frequent updating as data become available.