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

Tao Cheng, Lihua Feng and Weijun Liu
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Tao Cheng: School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China
Lihua Feng: School of Mathematics and Statistics, Central South University New Campus, Changsha 410083, China
Weijun Liu: School of Mathematics and Statistics, Central South University New Campus, Changsha 410083, China

Mathematics, 2019, vol. 7, issue 11, 1-12

Abstract: 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 .

Keywords: directed strongly regular graph; Cayley graph; metacyclic groups (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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