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Mathematics > Combinatorics

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)