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1.
Nonuniform lines on finite projective planes
Ádám Markó, 2026, izvirni znanstveni članek

Opis: We consider the stability version of the following problem, originally posed by Erdős: colour the points of a projective plane of order q, q odd, with two colours. What is the minimum number of nonuniform lines, that is the lines on which the number of points of the two colours are not the same. It is easy to show that the number of nonuniform lines is at least q+1 and there is a trivial colouring with q+1 nonuniform lines. Our main result is that the number of nonuniform lines is at least 13/8 * q or we have the trivial colouring.
Ključne besede: colouring, projective planes, blocking sets
Objavljeno v RUP: 20.03.2026; Ogledov: 446; Prenosov: 10
.pdf Celotno besedilo (414,61 KB)

2.
On the balanced upper chromatic number of finite projective planes
Zoltán L. Blázsik, Aart Blokhuis, Štefko Miklavič, Zoltán Lóránt Nagy, Tamás Szőnyi, 2021, izvirni znanstveni članek

Ključne besede: projective planes, balanced upper chromatic number, difference sets, planar functions, probabilistic method
Objavljeno v RUP: 18.01.2021; Ogledov: 3240; Prenosov: 41
URL Povezava na celotno besedilo

3.
On the spectrum of the sizes of semiovals in PG (2,q), q odd
György Kiss, Stefano Marcugini, Fernanda Pambianco, 2010, objavljeni znanstveni prispevek na konferenci

Ključne besede: semiovals, projective planes, nontangent lines, bounds, secants
Objavljeno v RUP: 08.08.2016; Ogledov: 4674; Prenosov: 117
URL Povezava na celotno besedilo

4.
On the balanced upper chromatic number of cyclic projective planes and projective spaces
Gabriela Araujo-Pardo, György Kiss, Amanda Montejano, 2015, izvirni znanstveni članek

Ključne besede: balanced rainbow-free colorings, upper chromatic number, projective planes, projective spaces
Objavljeno v RUP: 08.08.2016; Ogledov: 4918; Prenosov: 176
URL Povezava na celotno besedilo

5.
On the intersection of Baer subgeometries of PG(n, q[sup]2)
Izabella Jagos, György Kiss, Attila Pór, 2003, izvirni znanstveni članek

Ključne besede: Baer subgeometries, finite projective spaces, non-desarguesian translation planes
Objavljeno v RUP: 08.08.2016; Ogledov: 5993; Prenosov: 91
URL Povezava na celotno besedilo
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