Colouring graphs when the number of colours is almost the maximum degree
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Publication:462929
DOI10.1016/j.jctb.2014.06.004zbMath1301.05130OpenAlexW2014924232MaRDI QIDQ462929
Bruce A. Reed, Michael S. O. Molloy
Publication date: 22 October 2014
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jctb.2014.06.004
Analysis of algorithms and problem complexity (68Q25) Extremal problems in graph theory (05C35) Coloring of graphs and hypergraphs (05C15) Vertex degrees (05C07)
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Cites Work
- Unnamed Item
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- On an upper bound of the graph's chromatic number, depending on the graph's degree and density
- Which problems have strongly exponential complexity?
- (\(\Delta-k\))-critical graphs
- Concentration of measure and isoperimetric inequalities in product spaces
- Weighted sums of certain dependent random variables
- Concentration for Independent Permutations
- Graph Theory and Probability
- A constructive proof of the general lovász local lemma
- An algorithmic approach to the Lovász local lemma. I
- Uniquely Colourable Graphs and the Hardness of Colouring Graphs of Large Girth
- A constructive proof of the Lovász local lemma
- Colouring graphs when the number of colours is nearly the maximum degree
- Probability Inequalities for Sums of Bounded Random Variables
- Paths, Trees, and Flowers
- A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
- Graph colouring and the probabilistic method