Naslov
Strongly regular configurations

Autori
Krčadinac, Vedran

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
8th European Congress of Mathematics / - , 2021, 1-1

Skup
8th European Congress of Mathematics

Mjesto i datum
Online, Portorož, Slovenija, 20-26.06.2021

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
line graphs ; semipartial geometries

Sažetak
We report on the recent study~[1] of combinatorial configurations with the associated point and line graphs being strongly regular. A prominent family of such configurations are the partial geometries, introduced by R.~C.~Bose in~1963. We focus on such configurations that are not partial geometries nor known generalisations such as semipartial geometries and strongly regular (α, β)(α, β)-geometries, neither are they elliptic semiplanes of P.~Dembowski. Several families are constructed, necessary existence conditions are proved, and a table of feasible parameters with at most 200200 points is presented. \begin{;enumerate};[{;[1]};] \item M.~Abreu, M.~Funk, V.~Krčadinac, D.~Labbate, \emph{;Strongly regular configurations};, preprint, 2021. \verb|https://arxiv.org/abs/2104.04880| \end{;enumerate};

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA