math.CO

(what is this?)

# Title: 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 M\"obius-Kantor configuration are splittable.
 Comments: 19 pages, 10 figures Subjects: Combinatorics (math.CO) MSC classes: 51A20, 05B30 Cite as: arXiv:1803.06568 [math.CO] (or arXiv:1803.06568v1 [math.CO] for this version)

## Submission history

From: Nino Bašić [view email]
[v1] Sat, 17 Mar 2018 20:36:12 GMT (21kb)