Abstract
In a recent paper Korchmaros et al. (J Combin Theory Ser A 160:62–83, 2018) the geometry of finite planes is exploited for the construction of one-factorisations of the complete graph $$K_n$$ from configurations of points in $$\mathrm {PG}(2,q)$$ . Here we provide an alternative procedure where the vertices of $$K_n$$ correspond to the points of a hyperbola in $$\mathrm {AG}(2,q)$$ . In this way, we obtain one-factorisations for parameters which are either not covered by the constructions in Korchmaros et al. (J Combin Theory Ser A 160:62–83, 2018), or isomorphic to known examples but arising from different geometric configurations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.