Splittable and unsplittable graphs and configurations

Abstract

We prove that there exist infinitely many splittable and also infinitely many unsplittable cyclic $(n_3)$ configurations. We also present a complete study of trivalent cyclic Haar graphs on at most 60 vertices with respect to splittability. Finally, we show that all cyclic flag-transitive configurations with the exception of the Fano plane and the Möbius-Kantor configuration are splittable.

arXiv comment19 pages, 10 figures

References in corpus (1)

• Cyclic groups are CI-groups for balanced configurations