7 papers
Switching for 2-designs
Dean Crnković, Andrea Švob
In this paper we introduce a switching for 2-designs. We illustrate this method by applying it to some symmetric (64,28,12) designs. In that way we obtain six new symmetric (64,28,…
New constructions of divisible design Cayley graphs
Dean Crnković, Andrea Švob
Divisible design graphs were introduced in 2011 by Haemers, Kharaghani and Meulenberg. Further, divisible design graphs which can be obtained as Cayley graphs were recently studied…
New symmetric 2-(176,50,14) designs
Dean Crnković, Andrea Švob
In this paper we construct two new symmetric designs with parameters 2-(176,50,14) as designs invariant under certain subgroups of the full automorphism group of the Higman design.…
Neighbour-Transitive Codes and Partial Spreads in Generalised Quadrangles
Dean Crnković, Daniel R. Hawtin, Andrea Ŝvob
A code in a generalised quadrangle is defined to be a subset of the vertex set of the point-line incidence graph of . The minimum dista…
-Analogs of strongly regular graphs
Michael Braun, Dean Crnković, Maarten De Boeck +2
We introduce the notion of q-analogs of strongly regular graphs and give several examples of such structures. We prove a necessary condition on the parameters, show the connection…
On automorphism groups of a biplane (121,16,2)
Dean Crnković, Doris Dumičić Danilović, Sanja Rukavina
The existence of a biplane with parameters is an open problem. Recently, it has been proved by Alavi, Daneshkhah and Praeger that the order of an automorphism group of…
On the PSU(4, 2)-invariant vertex-transitive strongly regular (216, 40, 4, 8) graph
Dean Crnković, Francesco Pavese, Andrea Švob
In 2018 the first, Rukavina and the third author constructed with the aid of a computer the first example of a strongly regular graph with parameters (216, 40, 4, 8) and proved…