Multinestings in Octagon Quadrangle Systems

Abstract

In this paper, we determine the spectrum for $super-perfect$ OQSs. OQSs are $G$-designs in which $G$ is an octagon quadrangle, i.e., the graph consisting of an $8$-cycle $(x_1,x_2,\dots ,x_8)$ with two additional chords: the edges $\{x_1,x_4\}$ and $\{x_5,x_6\}$.