Примеры использования Graph has на Английском языке и их переводы на Русский язык
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Every graph has a weak 2-coloring.
Every finite connected undirected graph has at least one Trémaux tree.
Every graph has an acyclic orientation.
In particular, every planar graph has a planar arc diagram.
The graph has a fixed scale.
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Every distance-hereditary graph has clique-width at most 3.
If a graph has sufficiently many edges, it must contain a large clique.
Not every infinite graph has a normal spanning tree.
A graph has a bipolar orientation if and only if it has an st-numbering.
Every k-regular graph has degeneracy exactly k.
Heath, Leighton& Rosenberg(1992)conjectured that every planar graph has bounded queue number.
Every graph has a cycle basis in which every cycle is an induced cycle.
And conversely, every nonplanar linkless graph has multiple linkless embeddings.
That is, every graph has either a small separator or a haven of high order.
More generally, every K 3,3{\displaystyle K_{3,3}}-minor-free graph has a Pfaffian orientation.
However, the graph has maximum matchings with seven edges, so β 7.
Therefore, it has a unique solution,and(with the outer face fixed) the graph has a unique Tutte embedding.
Every finite graph has a book embedding onto a book with a large enough number of pages.
In mathematics, the Cheeger constant(also Cheeger number or isoperimetric number) of a graph is a numerical measure of whether or not a graph has a"bottleneck.
The triangle graph has chromatic number 3, chromatic index 3, radius 1, diameter 1 and girth 3.
The LCF entries are absent above if the graph has no Hamiltonian cycle, which is rare see Tait's conjecture.
If a graph has a bridge, then it cannot be strongly orientable, for no matter which orientation is chosen for the bridge there will be no path from one of the two endpoints of the bridge to the other.
Every planar hypohamiltonian graph has at least one vertex with only three incident edges.
Since this graph has Θ(n2) edges for n distinct points, constructing it already requires Ω(n2) time.
Corrádi and Szabó showed that the maximum clique in this graph has size at most 2n, and that if there is a clique of this size then Keller's conjecture is false.
Thus, a graph has a bramble of order k if and only if it has a haven of order k.
For instance, a maximal planar graph has such an embedding if and only if it contains a Hamiltonian cycle.
More generally, k-outerplanar graphs have treewidth Ok.
Isomorphic graphs have the same chromatic polynomial, but non-isomorphic graphs can be chromatically equivalent.
Isomorphic graphs have the same Tutte polynomial, but the converse is not true.