Примеры использования Chromatic number на Английском языке и их переводы на Русский язык
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The chromatic number of the F26A graph is 2.
It is the smallest 4-regular graph of girth 5 with chromatic number 4.
The chromatic number of the Pappus graph is 2.
The Hedetniemi conjecture gives a formula for the chromatic number of a tensor product.
The chromatic number of the Dürer graph is 3.
The Hadwiger-Nelson problem concerns the chromatic number of unit distance graphs.
The chromatic number of the Horton graph is 2.
From Brooks's theorem,graphs with high chromatic number must have high maximum degree.
The chromatic number of the Clebsch graph is 4.
The Albertson conjecture, formulated by Michael O. Albertson in 2007,states that, among all graphs with chromatic number n, the complete graph Kn has the minimum number of crossings.
The chromatic number of the Wagner graph is 3.
Additional results of this type are not possible,as Hajnal found examples of triangle-free graphs with arbitrarily large chromatic number and minimum degree(1/3- ε)n for any ε> 0.
The chromatic number of the Foster graph is 2.
Correspondingly, the chromatic number of an odd cycle is three.
The chromatic number of the Bidiakis cube is 3.
This lemma, in turn,can be used to calculate the chromatic number of the Kneser graphs, a problem first solved in a different way by László Lovász.
The chromatic number of the Hoffman graph is 2.
Therefore, in the Solovay model, the(infinite)chromatic number of all of G is much larger than the chromatic number of its finite subgraphs at most two.
The chromatic number of the Coxeter graph is 3.
For odd values of n, Wn is a perfect graph with chromatic number 3: the vertices of the cycle can be given two colors, and the center vertex given a third color.
The chromatic number of the Meredith graph is 3.
Thus, perfection(defined as the equality of maximum clique size and chromatic number in every induced subgraph) is equivalent to the equality of maximum independent set size and clique cover number. .
The chromatic number of the Brinkmann graph is 4.
The fractional chromatic number of the Golomb graph is 10/3.
The chromatic number of the double-star snark is 3.
The chromatic number of the Robertson graph is 3.
The chromatic number of the Balaban 11-cage is 3.
The chromatic number of the Biggs-Smith graph is 3.
The chromatic number of the Ellingham-Horton 78-graph is 2.
The chromatic number is the minimum number of such sets.