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math.CO2022
A counterexample to a conjecture on the chromatic number of r-stable Kneser hypergraphs
Hamid Reza Daneshpajouh
The main purpose of this note is to give a counterexample to the following conjecture, raised by Florian Frick [\textit{Int. Math. Res. Not. IMRN 2020 (13), 4037-4061 (2020)}]. Con…
math.CO2022
On the number of star-shaped classes in optimal colorings of Kneser graphs
Hamid Reza Daneshpajouh
A family of sets is called star-shaped if all the members of the family have a point in common. The main aim of this paper is to provide a negative answer to the following question…