3 papers
math.CO2026
The existence of some directed strongly regular graphs on 54 and 108 vertices
Dean CrnkoviÄ, Andrea Å vob, Matea ZuboviÄ Å½utolija
In this paper, we prove the existence of directed strongly regular graphs with parameters (108,11,3,2,1), (108,14,10,0,2), (108,22,12,6,4), (108,23,9,8,4), (108,25,15,8,5), (108,34…
math.CO2026
A universal theory of switching for combinatorial objects, and applications to complex Hadamard matrices
Dean CrnkoviÄ, Ronan Egan, Andrea Å vob
The concept of switching has arisen in several different areas within combinatorics. The act of switching usually transforms a combinatorial object into a non-isomorphic object of…
math.CO2024
Construction of directed strongly regular graphs via their orbit matrices and genetic algorithm
Dean CrnkoviÄ, Andrea Å vob, Tin Zrinski
In this paper, we introduce orbit matrices of directed strongly regular graphs (DSRGs). Further, we propose a method of constructing directed strongly regular graphs with prescribe…