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Two disjoint cycles of various lengths in alternating group graph

Dongqin Cheng

Applied Mathematics and Computation, 2022, vol. 433, issue C

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.

Keywords: Interconnection network; Alternating group graphs; Vertex disjoint cycles; Cycle cover (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:433:y:2022:i:c:s0096300322004817

DOI: 10.1016/j.amc.2022.127407

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