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Two disjoint cycles of various lengths in alternating group graph

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  • Cheng, Dongqin

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.

Suggested Citation

  • Cheng, Dongqin, 2022. "Two disjoint cycles of various lengths in alternating group graph," Applied Mathematics and Computation, Elsevier, vol. 433(C).
    • Handle: RePEc:eee:apmaco:v:433:y:2022:i:c:s0096300322004817
    DOI: 10.1016/j.amc.2022.127407
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    References listed on IDEAS

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    1. Niu, Ruichao & Xu, Min & Lai, Hong-Jian, 2021. "Two-disjoint-cycle-cover vertex bipancyclicity of the bipartite generalized hypercube," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    2. Wei, Chao & Hao, Rong-Xia & Chang, Jou-Ming, 2020. "Two-disjoint-cycle-cover bipancyclicity of balanced hypercubes," Applied Mathematics and Computation, Elsevier, vol. 381(C).
    3. Li, Xiaowang & Zhou, Shuming & Ren, Xiangyu & Guo, Xia, 2021. "Structure and substructure connectivity of alternating group graphs," Applied Mathematics and Computation, Elsevier, vol. 391(C).
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