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math.CO2021
A solution to Ringel's circle problem
James Davies, Chaya Keller, Linda Kleist +2
We construct families of circles in the plane such that their tangency graphs have arbitrarily large girth and chromatic number. This provides a strong negative answer to Ringel's…
math.CO2021
On Multicolour Ramsey Numbers and Subset-Colouring of Hypergraphs
Bruno Jartoux, Chaya Keller, Shakhar Smorodinsky +1
For and , write if every hyperedge colouring with colours of the complete -uniform hypergraph on vertices has a mon…
math.CO2021
On the number of hyperedges in the hypergraph of lines and pseudo-discs
Chaya Keller, Balázs Keszegh, Dömötör Pálvölgyi
Consider the hypergraph whose vertex set is a family of lines in general position in the plane, and whose hyperedges are induced by intersections with a family of pseudo-discs.…