scholarly journals Constructions of Strongly Regular Cayley Graphs Using Even Index Gauss Sums

2012 ◽  
Vol 21 (10) ◽  
pp. 432-446
Author(s):  
Fan Wu
Keyword(s):  
Cayley Graphs ◽  
Gauss Sums ◽  
Strongly Regular

scholarly journals Constructions of strongly regular Cayley graphs using index four Gauss sums

2012 ◽  
Vol 37 (2) ◽  
pp. 313-329 ◽  
Author(s):  
Gennian Ge ◽  
Qing Xiang ◽  
Tao Yuan
Keyword(s):  
Cayley Graphs ◽  
Gauss Sums ◽  
Strongly Regular

scholarly journals Directed strongly regular Cayley graphs on dihedral groups

2021 ◽  
Vol 391 ◽  
pp. 125651
Author(s):  
Yiqin He ◽  
Bicheng Zhang ◽  
Rongquan Feng
Keyword(s):  
Cayley Graphs ◽  
Dihedral Groups ◽  
Strongly Regular

scholarly journals Strongly regular Cayley graphs with λ − μ = −1

1994 ◽  
Vol 67 (1) ◽  
pp. 116-125 ◽  
Author(s):  
K.T Arasu ◽  
D Jungnickel ◽  
S.L Ma ◽  
A Pott
Keyword(s):  
Cayley Graphs ◽  
Strongly Regular

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

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1011 ◽  
Author(s):  
Tao Cheng ◽  
Lihua Feng ◽  
Weijun Liu
Keyword(s):  
Positive Integer ◽  
Cayley Graphs ◽  
Metacyclic Group ◽  
Metacyclic Groups ◽  
Strongly Regular

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 .

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