It is well-known and easy to see that the chromatic number χ ( G ) of a graph G satisfies χ ( G ) ≤ col ( G ) . Although this bound is far from being tight in ...
Dec 7, 2016 · Using the notion of generalised colouring numbers, we give a much simpler proof for the result of Nešetřil and Ossona de Mendez, which at the ...
For any graph $G=(V,E)$ and positive integer $p$, the exact distance-$p$ graph $G^{[\natural p]}$ is the graph with vertex set $V$, which has an edge ...
People also ask
How do you find the chromatic number of a graph?
What is the chromatic number of oriented graphs?
What is the total chromatic number of complete graph?
What is the path chromatic number of a graph?
Jan 1, 2024 · For any graph G = (V,E) and positive integer p, the exact distance-p graph G[\p] is the graph with vertex set V , which has an edge between ...
For any graph G=(V,E) and positive integer p, the exact distance-p graph G is the graph with vertex set V, which has an edge between vertices x and y if and ...
First page of “Chromatic numbers of exact distance graphs” PDF Icon. download. Download Free PDF. Download Free PDF. Chromatic numbers of exact distance graphs.
The minimum cardinality for which has a -coloring is called the chromatic number of and is denoted by Let and be graphs with , then it is easy to see that and ...
Missing: exact | Show results with:exact
May 29, 2019 · Results on the chromatic number of exact distance graphs are in particular known for trees [6] and chordal graphs [20]. Also very recently, van ...
Mar 2, 2020 · We study the chromatic numbers of this family of graphs. In particular, the exact value of the chromatic number of G(n, 3, 2) is found for infinitely many n.
May 31, 2018 · Abstract. For any graph G = (V;E) and positive integer p, the exact distance-p graph G[\p] is the graph with vertex set V , which has an ...