New constructions of self-complementary Cayley graphs
The electronic journal of combinatorics, Tome 24 (2017) no. 3
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Self-complementary Cayley graphs are useful in the study of Ramsey numbers, but they are relatively very rare and hard to construct. In this paper, we construct several families of new self-complementary Cayley graphs of order $p^4$ where $p$ is a prime and congruent to $1$ modulo $8$.
DOI : 10.37236/6695
Classification : 05C25, 05E18
Mots-clés : self-complementary graph, Cayley graph, fixed-point-free automorphism

Lei Wang  1   ; Cai Heng Li    ; Yin Liu    ; Ci Xuan Wu 

1 Peking university
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     author = {Lei Wang and Cai Heng Li and Yin Liu and Ci Xuan Wu},
     title = {New constructions of self-complementary {Cayley} graphs},
     journal = {The electronic journal of combinatorics},
     year = {2017},
     volume = {24},
     number = {3},
     doi = {10.37236/6695},
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     url = {http://geodesic.mathdoc.fr/articles/10.37236/6695/}
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Lei Wang; Cai Heng Li; Yin Liu; Ci Xuan Wu. New constructions of self-complementary Cayley graphs. The electronic journal of combinatorics, Tome 24 (2017) no. 3. doi: 10.37236/6695

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