Примеры использования Given graph на Английском языке и их переводы на Русский язык
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The problems of checking whether two self-complementary graphs are isomorphic and of checking whether a given graph is self-complementary are polynomial-time equivalent to the general graph isomorphism problem.
families of connected subgraphs of a given graph that all touch each other.
A sequence of these operations that forms a given graph is known as a Henneberg construction of the graph. .
A property is called evasive if determining whether a given graph has this property sometimes requires all n(n- 1)/2 queries.
Such a basis may be found as the collection of boundaries of the bounded faces of a planar embedding of the given graph G. If an edge is a bridge of G,
it is possible to test in polynomial time whether a given graph contains any of the members of the obstruction set,
The minimum size of an expression tree describing a Hajós construction for a given graph G may be significantly larger than the Hajós number of G,
The given graph will be biconnected(and will have a bipolar orientation)
Thus, by applying the polynomial time algorithm for testing whether a given graph contains any of the forbidden minors,
Because it is NP-complete to test whether a given graph has an arc diagram with one semicircle per edge
It is straightforward to verify that a given graph with n vertices
of a chordal graph of which the given graph is a subgraph.
The k-path problem is to decide whether a given graph has a path of length at least k{\displaystyle k.
for each of the forbidden minors for F, whether the given graph contains that forbidden minor.
an algorithm of Robertson& Seymour(1995) can be used to test in polynomial time whether a given graph contains any of the seven forbidden minors.
For instance, for testing whether the graph has a subgraph isomorphic to any given graph(the so-called subgraph isomorphism problem), the best known lower bound is Ω(n3/2)
the operations of adding a vertex or edge to the given graph, starting from the complete graph Kk.
One such algorithm starts with an arbitrary partition of the vertices of the given graph G( V,
If T{\ displaystyle T} is a spanning tree or spanning forest of a given graph G{\ displaystyle G},
It is also complete for the existential theory of the reals to test whether a given graph can be drawn in the plane with straight line edges