From the 1 of 5 linked papers with an AI index.
5 papers
A note on the chromatic number of Kneser graphs on chambers of projective planes and incidence-free sets
Philipp Heering, Klaus Metsch, Vladislav Taranchuk +1
The paper provides an elementary proof of a perfect matching in the incidence graph of a symmetric design, links the chromatic number of Kneser graphs on projective‑plane chambers…
Balanced intersection size distributions in projective planes
Zoltán Lóránt Nagy, Zsuzsa Weiner
Given a point set in a projective plane of order , each line determines a secant size . We study how balanced the secant-size distribution can be…
A note on short minimal codes from subgeometries
Sam Adriaensen, Peter Sziklai, Zsuzsa Weiner
In a 2022, Bartoli, Cossidente, Marino, and Pavese proved that in the projective space , one can find three -subgeometries such that the union of thei…
Multisets with few special directions and small weight codewords in Desarguesian planes
Sam Adriaensen, Tamás SzÅnyi, Zsuzsa Weiner
In this paper, we tie together two well studied topics related to finite Desarguesian affine and projective planes. The first topic concerns directions determined by a set, or even…
Points below a parabola in affine planes of prime order
Sam Adriaensen, Zsuzsa Weiner
The elements of a finite field of prime order canonically correspond to the integers in an interval. This induces an ordering on the elements of the field. Using this ordering, Kis…