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Results tagged with graph-colorings
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user 9137
Vertex colouring, Edge Colouring, List Colouring, Fractional Chromatic Number and other variants of graph colouring problems are all on topic.
3
votes
Chromatic number of $C_4$-free graphs
For the second question with respect to maximum degree, a bound of the desired form was first observed by Alon, Krivelevich and Sudakov (see https://doi.org/10.1006/jctb.1999.1910, Cor 2.4). My collea …
- 214
1
vote
Generalization of independence complex of graphs
To add to my previous answer, a paper of Szabó and Tardos from 2006 ("Extremal problems for transversals in graphs with bounded degree") has a result related to the complex you defined in 2.
- 214
3
votes
Accepted
Generalization of independence complex of graphs
Although I am not sure if these concepts been studied much as simplicial complexes, at least the second has been studied quite extensively in graph theory and theoretical computer science (including b …
- 214