论文标题
在有指示的汉密尔顿 - 沃特卢问题上有两个周期大小
On the Directed Hamilton-Waterloo Problem with Two Cycle Sizes
论文作者
论文摘要
指示的汉密尔顿 - 沃特卢问题要求有指导的$ 2 $ - factorization the Pottals Symmetric Digraph $ k_v^*$，其中有两个非iSomorphic $ 2 $ factors。在问题的统一版本中，因素由定向$ m $ $ -CYCLE或$ n $ CYCLES组成。在本文中，给出了解决此问题的必要条件，并为$（M，N）\ in \ in \ {（4,6），（4,8），（4,12），（4,16），（4,12），（6,12）$，$（6,12）$，$（8,16），（3,15），（3,15），（3,15），（3,15），（5,15），（5,15）的因素解决了问题。
The Directed Hamilton-Waterloo Problem asks for a directed $2$-factorization of the complete symmetric digraph $K_v^*$ where there are two non-isomorphic $2$-factors. In the uniform version of the problem, factors consist of either directed $m$-cycles or $n$-cycles. In this paper, necessary conditions for a solution of this problem are given, and the problem is solved for the factors with $(m, n)\in \{(4,6),(4,8),(4,12),(4,16),(6,12)$,$(8,16),(3,5),(3,15),(5,15)\}$.
