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Lei Wang
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Cai Heng Li
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Yin Liu
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Ci Xuan Wu
Keywords:
Self-complementary graph, Cayley graph, Fixed-point-free automorphism
Abstract
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 $8$.