Chromatic numbers, Buchstaber numbers and chordality of Bier spheres
Chromatic numbers, Buchstaber numbers and chordality of Bier spheres
We describe all the Bier spheres of dimension $d$ with chromatic number equal to $d+1$ and prove that all other $d$-dimensional Bier spheres have chromatic number equal to $d+2$, for any integer $d\geq 0$. Then we prove a general formula for complex and mod $p$ Buchstaber numbers of a Bier …