High Girth Hypergraphs with Unavoidable Monochromatic or Rainbow Edges
A classical result of Erdős and Hajnal claims that for any integers k, r, g ≥ 2 there is an r-uniform hypergraph of girth at least g with chromatic number at least k. This implies that there are sparse hypergraphs such that in any coloring of their vertices with at most k − 1 colors there is a monoc...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Zielona Góra
2022-05-01
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| Series: | Discussiones Mathematicae Graph Theory |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgt.2291 |