5 papers · 1 filter
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…