Alternating group graph has been widely studied recent years because it possesses many good properties. For a graph $G,$ the two-disjoint-cycle-cover $[r_1,r_2]$-pancyclicity refers that it contains cycles $C_1$ and $C_2,$ where $V\left(C_1\right)\cap V\left(C_2\right)=\varnothing ,$ $\ell \left(C_1\right)+\ell \left(C_2\right)=\left|V\left(G\right)\right|$ and $r_1\le \ell \left(C_1\right)\le r_2$. In this paper, it is proved that the $n$-dimensional alternating group graph $A{G}_n$ is two-disjoint-cycle-cover $[3,\frac{n!}{4}]$-pancyclic, where $n\ge 4$.

中文翻译：

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交替组图中两个不同长度的不相交循环

近年来，交替群图由于具有许多良好的性质而被广泛研究。对于图表$G,$两个不相交的循环覆盖$[r_1,r_2]$-泛循环性是指它包含循环$C_1$和$C_2,$在哪里$五\left(C_1\right)\cap 五\left(C_2\right)=\varnothing ,$ $\ell \left(C_1\right)+\ell \left(C_2\right)=\left|五\left(G\right)\right|$和$r_1\le \ell \left(C_1\right)\le r_2$. 在本文中，证明了$n$维交替群图$\mathrm{一个}{G}_n$是两个不相交的循环覆盖$[3,\frac{n！}{4}]$-泛环，其中$n\ge 4$.