Dean Crnkovic - Faculty of Mathematics, University of Rijeka, Rijeka, Croatia
Hadi Kharaghani - Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, Canada
Sho Suda - Department of Mathematics, National Defense Academy of Japan, ۲-۱۰-۲۰ Hashirimizu, Yokosuka, Kanagawa, Japan
Andrea Svob - Faculty of Mathematics, University of Rijeka, Rijeka, Croatia

Deza digraphs were introduced in ۲۰۰۳ by Zhang and Wang as directed graph version of Deza graphs, that also generalize the notion of directed strongly regular graphs. In this paper, we give several new constructions of Deza digraphs. Further, we introduce twin and Siamese twin (directed) Deza graphs and construct several examples. Finally, we study a variation of directed Deza graphs and provide a construction from finite fields.

directed Deza graph, directed strongly regular graph, twin Deza graph, twin directed Deza graph