Naslov
The Kramer-Mesner method for quasi-symmetric designs

Autori
Vlahović, Renata ; Krčadinac, Vedran

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

Izvornik
3rd Istanbul Design Theory, Graph Theory and Combinatorics Workshop / - , 2016, 1-1

Skup
3rd Istanbul Design Theory, Graph Theory and Combinatorics Workshop

Mjesto i datum
Istanbul, Turska, 13.06.2016. - 17.06.2016

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
quasi-symmetric design, Kramer-Mesner method

Sažetak
A t-(v, k, λ) design is a set V of v points and a collection of k-subsets of V, called blocks, with the property that any t-subset of V is contained in exactly λ blocks. The design is quasisymmetric if any two blocks intersect either in x or in y points, for non-negative integers x < y. Quasi-symmetric designs have important connections with strongly regular graphs and other combinatorial structures. One of the most common methods for construction of designs with prescribed automorphism groups is the Kramer-Mesner method. We adapt it to quasi-symmetric designs and, using the adapted method, we find many new quasi-symmetric 2- (28, 12, 11) and 2-(36, 16, 12) designs. Furthermore, we find new quasi-symmetric design with parameters 2-(56, 16, 18), which had previously been unknown. The associated block graph is the Cameron graph with parameters SRG(231, 30, 9, 3).

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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