Equitable block colourings

Paola Bonacini, Lucia Marino

Let $\Sigma =(X,\mathcal{B})$ a $4$-cycle system of order $v=1+8k$. A $c$-colouring of type $s$ is a map $\varphi :\mathcal{B}\to \mathcal{C}$, with $C$ set of colours, such that exa…