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New directed strongly regular graphs on 60 vertices
Dean Crnkovic, Andrea Svob, Matea Zubovic Zutolija
We prove the existence of directed strongly regular graphs with parameters (60,21,11,6,8), (60,22,12,8,8), (60,24,10,9,10), (60,25,17,8,12), (60,27,21,12,12) and (60,28,20,14,12).…
Transitive regular -analogs of graphs
Dean Crnkovic, Vedrana Mikulic Crnkovic, Andrea Svob +1
In 1976, Delsarte introduced the notion of -analogs of designs, and -analogs of graphs were introduced recently by M. Braun et al. In this paper, we extend that study by givi…
-Analogs of divisible design graphs and Deza graphs
Dean Crnkovic, Maarten De Boeck, Francesco Pavese +1
Divisible design graphs were introduced in 2011 by Haemers, Kharaghani and Meulenberg. In this paper, we introduce the notion of -analogs of divisible design graphs and show tha…
A construction of directed strongly regular graphs with parameters (63,11,8,1,2)
Andries E. Brouwer, Dean Crnković, Andrea Švob
In this paper, we prove the existence of directed strongly regular graphs with parameters . We construct a pair of nonisomorphic dsrg(63,11,8,1,2), where one is obta…
Distance-regular graphs obtained from the Mathieu groups
Dean Crnkovic, Nina Mostarac, Andrea Svob
In this paper we construct distance-regular graphs admitting a transitive action of the five sporadic simple groups discovered by E. Mathieu, the Mathieu groups , ,…
Strongly regular graphs with parameters (81,30,9,12) and a new partial geometry pg(5,5,2)
Dean Crnković, Andrea Švob, Vladimir D. Tonchev
Twelve new strongly regular graphs with parameters (81,30,9,12) are found as graphs invariant under certain subgroups of the automorphism groups of the two previously known graphs…