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Infinite benzenoids
Nino Bašić, 2019, original scientific article

Keywords: infinite benzenoid, hexagonal system, convex benzenoid, boundary-edges code, half-plane, countable set
Published in RUP: 11.02.2020; Views: 1446; Downloads: 39
.pdf Full text (4,04 MB)

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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
URL Link to full text

6.
Inherited conics in Hall planes
Aart Blokhuis, István Kovács, G. P. Nagy, Tamás Szőnyi, 2019, original scientific article

Keywords: finite projective plane, arc, Hall plane
Published in RUP: 21.01.2019; Views: 2123; Downloads: 189
URL Link to full text

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On the metric dimension of affine planes, biaffine planes and generalized quadrangles
Daniele Bartoli, György Kiss, 2018, original scientific article

Keywords: dimension, affine plane, biaffine plane
Published in RUP: 21.01.2019; Views: 1384; Downloads: 100
.pdf Full text (213,22 KB)
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8.
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
URL Link to full text

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Notes on semiarcs
Bence Csajbók, György Kiss, 2012, original scientific article

Keywords: finite plane, arc, sumset theorems
Published in RUP: 08.08.2016; Views: 2031; Downloads: 150
URL Link to full text

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Small semiovals in PG(2, q)
György Kiss, 2008, original scientific article

Keywords: Desarguesian plane, blocking set, semioval
Published in RUP: 08.08.2016; Views: 2380; Downloads: 129
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