Construction of Directed Strongly Regular Graphs as Generalized Cayley Graphs

• DOI: 10.48550/arxiv.1410.1161
• Publication Date: 2014-01-01
• Authors: Feng, Rongquan; Zeng, Liwei
• Keywords: FOS: Mathematics; Mathematics - Combinatorics; 05E15 05C60; 0102 computer and information sciences; Combinatorics (math.CO); 01 natural sciences

Directed strongly regular graphs were introduced by Duval in 1998 as one of the possible generalization of classical strongly regular graphs to the directed case. Duval also provided several construction methods for directed strongly regular graphs. In this paper, an infinite family of directed strongly regular graphs is constructed, as generalized Cayley graphs of cyclic groups.<br/>This paper has been withdrawn, since we found a mistake<br/>