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1.
On circular-linear one-factorizations of the complete graph
György Kiss, Nicola Pace, Angelo Sonnino, 2019, original scientific article

Keywords: complete graph, one-factorization, Euclidean plane
Published in RUP: 20.08.2019; Views: 1544; Downloads: 157
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2.
Inherited unitals in Moulton planes
Gábor Korchmáros, Angelo Sonnino, Tamás Szőnyi, 2018, original scientific article

Abstract: We prove that every Moulton plane of odd order-by duality every generalised André plane-contains a unital. We conjecture that such unitals are non-classical, that is, they are not isomorphic, as designs, to the Hermitian unital. We prove our conjecture for Moulton planes which differ from PG(2, q2) by a relatively small number of point-line incidences. Up to duality, our results extend previous analogous results-due to Barwick and Grünin-concerning inherited unitals in Hall planes.
Keywords: Unital, Moulton plane, Hermitian
Published in RUP: 19.12.2018; Views: 1873; Downloads: 158
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