New constructions of Deza digraphs

2020/01/20 by Dean Crnković, Dean Crnkovic, Hadi Kharaghani +7
Computer Science · Engineering · Mathematics · #05B20 #05C20 #05E30 #Advanced Graph Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems #math.CO #msc:05B20 #msc:05C20 #msc:05E30

paper · pdf · doi:10.48550/arxiv.2001.07281

19 pages

openalex publication_date 2020/01/20 · arxiv created 2020/06/08 · arxiv updated 2020/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Deza digraphs were introduced in 2003 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. Moreover, we classify directed Deza graphs with parameters (n,k,b,a,t) having the property that b=t. Finally, we introduce a variation of directed Deza graphs and provide a construction from finite fields.

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