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On the balanced upper chromatic number of finite projective planes
Zoltán L. Blázsik, Aart Blokhuis, Štefko Miklavič, Zoltán Lóránt Nagy, Tamás Szőnyi, 2021, original scientific article

Keywords: projective planes, balanced upper chromatic number, difference sets, planar functions, probabilistic method
Published in RUP: 18.01.2021; Views: 1034; Downloads: 36
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Relative blocking sets of unions of Baer subplanes
Aart Blokhuis, L. Storme, Tamás Szőnyi, 2019, original scientific article

Keywords: blocking sets, Baer subplanes, relative blocking sets, fractional cover, fractional covering number
Published in RUP: 01.08.2019; Views: 1505; Downloads: 154
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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: 1968; Downloads: 158
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Integral automorphisms of affine spaces over finite fields
István Kovács, Klavdija Kutnar, János Ruff, Tamás Szőnyi, 2015, published scientific conference contribution abstract

Keywords: finite field, affine space, integral distance, integral automorphism
Published in RUP: 08.08.2016; Views: 2909; Downloads: 80
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