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Directed Strongly Regular Cayley Graphs over Metacyclic Groups of Order 4n

by Tao Cheng 1,†, Lihua Feng 2,*,† and Weijun Liu 2,†
1
School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China
2
School of Mathematics and Statistics, Central South University New Campus, Changsha 410083, China
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2019, 7(11), 1011; https://doi.org/10.3390/math7111011
Received: 15 September 2019 / Revised: 16 October 2019 / Accepted: 22 October 2019 / Published: 24 October 2019
(This article belongs to the Section Mathematics and Computers Science)
We construct several new families of directed strongly regular Cayley graphs (DSRCGs) over the metacyclic group M 4 n = a , b | a n = b 4 = 1 , b 1 a b = a 1 , some of which generalize those earlier constructions. For a prime p and a positive integer α > 1 , for some cases, we characterize the DSRCGs over M 4 p α . View Full-Text
Keywords: directed strongly regular graph; Cayley graph; metacyclic groups directed strongly regular graph; Cayley graph; metacyclic groups
MDPI and ACS Style

Cheng, T.; Feng, L.; Liu, W. Directed Strongly Regular Cayley Graphs over Metacyclic Groups of Order 4n. Mathematics 2019, 7, 1011.

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