Abstract

Alternating group graph has been widely studied recent years because it possesses many good properties. For a graph G, the two-disjoint-cycle-cover [r1,r2]-pancyclicity refers that it contains cycles C1 and C2, where V(C1)∩V(C2)=∅,ℓ(C1)+ℓ(C2)=|V(G)| and r1≤ℓ(C1)≤r2. In this paper, it is proved that the n-dimensional alternating group graph AGn is two-disjoint-cycle-cover [3,n!4]-pancyclic, where n≥4.

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