1 citations · 1 across the 6 of their papers we have counts for
10 papers
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…
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…
Colorings of complements of line graphs
Hamid Reza Daneshpajouh, Frédéric Meunier, Guilhem Mizrahi
Our purpose is to show that complements of line graphs enjoy nice coloring properties. We show that for all graphs in this class the local and usual chromatic numbers are equal. We…
On the neighborhood complex of -stable Kneser graphs
Hamid Reza Daneshpajouh, József Osztényi
In 2002, A. Björner and M. de Longueville showed the neighborhood complex of the -stable Kneser graph has the same homotopy type as the -s…
Hedetniemi's conjecture from the topological viewpoint
Hamid Reza Daneshpajouh, Roman Karasev, Alexey Yu. Volovikov
This paper is devoted to studying a topological version of the famous Hedetniemi conjecture which says: The -index of the Cartesian product of two -spaces…
On the chromatic number of generalized Kneser hypergraphs
Hamid Reza Daneshpajouh
The generalized Kneser hypergraph is the hypergraph whose vertices are all the -subsets of , and edges are -tuples of distinct vertices such…