Примеры использования Subgraphs на Английском языке и их переводы на Русский язык
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These subgraphs are all isomorphic to the complement graph of the Clebsch graph.
The cycle space of a graph is the collection of its Eulerian spanning subgraphs.
Concurrency: Update locking on subgraphs, concurrent non-blocking ingest.
Convex subgraphs play an important role in the theory of partial cubes and median graphs.
Every graph with Hadwiger number k has at most n2O(k log log k)cliques complete subgraphs.
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For larger forbidden subgraphs, it remains the best known bound, and has been conjectured to be tight.
Barioli used it to mean a graph composed of a number of arbitrary subgraphs having two vertices in common.
The original graph G is separated into two subgraphs G0 and G1 by cutting the planar embedding along C and duplicating the boundary nodes.
A universal graph for a family F of graphs is a graph that contains every member of F as a subgraphs.
However, the planar partial 3-trees, subgraphs of Apollonian networks, are minor-closed.
A BDD is said to be'reduced' if the following two rules have been applied to its graph:Merge any isomorphic subgraphs.
Closely related concepts to complete subgraphs are subdivisions of complete graphs and complete graph minors.
Indifference graphs obey the reconstruction conjecture: they are uniquely determined by their vertex-deleted subgraphs.
Line graphs may be characterized in terms of nine forbidden subgraphs; the claw is the simplest of these nine graphs.
A graph G,or one of its subgraphs, is said to be Eulerian if each of its vertices has even degree its number of incident edges.
The order of a bramble is the minimum number of vertices needed in a set of vertices that hits all of the subgraphs in the family.
The Gabriel graph contains, as subgraphs, the Euclidean minimum spanning tree, the relative neighborhood graph, and the nearest neighbor graph.
A shallow minor or limited-depth minor is a restricted form of a graph minor in which the subgraphs that are contracted to form the minor have small diameter.
It is evident from the description of subgraphs that the macrovertex F1(calculation of the rotation parameters) is much more"weighty" than the rotation vertex F2.
Thus, in their notation,the Laman graphs are exactly the(2,3)-tight graphs, and the subgraphs of the Laman graphs are exactly the(2,3)-sparse graphs.
Their algorithm finds large planar subgraphs within the given graph such that, if a linkless embedding exists, it has to respect the planar embedding of the subgraph. .
Kempe's erroneous proof follows the idea of extending partial colorings such as this oneby recoloring Kempe chains, connected subgraphs that have only two colors.
T G( 1, 2){\displaystyle T_{G}(1,2)}counts the number of spanning subgraphs edge subsets with the same number of connected components as G.
Therefore, the solutions to this 2-satisfiability instance correspond one-for-one with the vertices of G. A retraction of a graph G is an adjacency-preserving map from G to one of its subgraphs.
Existence requires each of the 3-node subgraphs of this graph,(p q r),(p u s),(q t u), and(r s t), must correspond to a Schwarz triangle.
If a graph does not have finite chromatic number,then the De Bruijn-Erdős theorem implies that it must contain finite subgraphs of every possible finite chromatic number.
The notion of graph spanners has been known in graph theory:t-spanners are spanning subgraphs of graphs with similar dilation property, where distances between graph vertices are defined in graph-theoretical terms.
Falls, Powell, and Snoeyink develop an efficient algorithm for finding clusters of orthologous groups of genes in genome data, by representing the data as a graph andsearching for large Turán subgraphs.
Additionally, the subgraphs of any graph cannot have arboricity larger than the graph itself, or equivalently the arboricity of a graph must be at least the maximum arboricity of any of its subgraphs. .
Clique game The earlier work by Kuratowski(1930) characterizing planar graphs by forbidden complete andcomplete bipartite subgraphs was originally phrased in topological rather than graph-theoretic terms.