New constructions of Deza digraphs

Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
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JR_THEGR-13-3_001

تاریخ نمایه سازی: 18 فروردین 1403

Abstract:

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.

Keywords:

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

Authors

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

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