强 Skolem 星型起始元的旧族与新族
组合数学
2020-11-10 v5
摘要
在本文中，我们给出 与 的强 Skolem 起始元的新族，其中对无穷多个奇素数 (mod 8) 且 为整数。
引用
@article{arxiv.2007.08449,
title = {Old and new families of strong Skolem Starters},
author = {Adrián Vázquez-Ávila},
journal= {arXiv preprint arXiv:2007.08449},
year = {2020}
}
备注
The paper gives an alternative (simple) construction of strong Skolem starters for $\mathbb{Z}_{p^n}$ and $\mathbb{Z}_{pq}$, for infinitely many odd primes $p,q\equiv1$ (mod 8) and $n>1$ be an integer, than given by Ogandzhanyants et al. [O. Ogandzhanyants, M. Kondratieva, and N. Shalaby, \emph{Strong Skolem starters}, J. Combin. Des. {\bf 27} (2018), no. 1, 5--21]