Multiplex congruence network of natural numbers

  title={Multiplex congruence network of natural numbers},
  author={Xiao-Yong Yan and Wen-Xu Wang and Guan-Rong Chen and Ding-Hua Shi},
  booktitle={Scientific reports},
Congruence theory has many applications in physical, social, biological and technological systems. Congruence arithmetic has been a fundamental tool for data security and computer algebra. However, much less attention was devoted to the topological features of congruence relations among natural numbers. Here, we explore the congruence relations in the setting of a multiplex network and unveil some unique and outstanding properties of the multiplex congruence network. Analytical results show… CONTINUE READING
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