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

Author

Listed:
  • Tao Cheng

    (School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China
    These authors contributed equally to this work.)

  • Lihua Feng

    (School of Mathematics and Statistics, Central South University New Campus, Changsha 410083, China
    These authors contributed equally to this work.)

  • Weijun Liu

    (School of Mathematics and Statistics, Central South University New Campus, Changsha 410083, China
    These authors contributed equally to this work.)

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 .

Suggested Citation

  • Tao Cheng & Lihua Feng & Weijun Liu, 2019. "Directed Strongly Regular Cayley Graphs over Metacyclic Groups of Order 4 n," Mathematics, MDPI, vol. 7(11), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1011-:d:279991
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