On the symmetric digraphs from the kth power mapping on finite commutative rings

@article{Deng2015OnTS,
  title={On the symmetric digraphs from the kth power mapping on finite commutative rings},
  author={Guixin Deng and L. Somer},
  journal={Discret. Math. Algorithms Appl.},
  year={2015},
  volume={7},
  pages={1450064:1-1450064:15}
}
  • Guixin Deng, L. Somer
  • Published 2015
  • Mathematics, Computer Science
  • Discret. Math. Algorithms Appl.
For a finite commutative ring R and a positive integer k, let G(R, k) denote the digraph whose set of vertices is R and for which there is a directed edge from a to ak. The digraph G(R, k) is called symmetric of order M if its set of connected components can be partitioned into subsets of size M with each subset containing M isomorphic components. We primarily aim to factor G(R, k) into the product of its subdigraphs. If the characteristic of R is a prime p, we obtain several sufficient… Expand

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