Maximality of subfields as cliques in Cayley graphs over finite fields
Abstract
We show the maximality of subfields as cliques in a special family of Cayley graphs defined on the additive group of a finite field. In particular, this confirms a conjecture of Yip on generalized Paley graphs.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2022
- DOI:
- 10.48550/arXiv.2209.00864
- arXiv:
- arXiv:2209.00864
- Bibcode:
- 2022arXiv220900864Y
- Keywords:
-
- Mathematics - Combinatorics;
- Mathematics - Number Theory;
- 05C25;
- 05C69;
- 11T24
- E-Print:
- exposition improved, 5 pages